Statistical Analysis 60 questions

Question 1 (2.5 points)

 

A recent survey of local cell phone retailers showed that of all cell phones sold last month, 64% had a camera, 28% had a music player, and 22% had both. What is the probability that a cell phone sold last month had a camera or a music player?

Question 1 options:

.22

.30

.50

.70

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Question 2 (2.5 points)

 

A fast food restaurant just leased a new freezer and food fryer for three years. The service contract for the freezer offers unlimited repairs for a fee of $125 a year, plus a $35 service charge for each repair needed. The restaurant's research indicates that during a given year 80% of these freezers need no repairs, 11% needed to be serviced once, 5% twice, 4% three times, and none required more than three repairs. Find the expected number of repairs for this freezer per year.

Question 2 options:

0.23 repairs

0.33 repairs

0.51 repairs

0.43 repairs

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Question 3 (2.5 points)

 

During its grand opening week, Stickler's bicycle shop offers a "wheel of discount savings." After customers select the items they wish to purchase, they spin the wheel to determine the discount they will receive. The wheel is divided into 12 slices. Six slices are red and award a 10% discount, three slices are white and award a 20% discount, and two slices are blue and award a 40% discount. The remaining slice is gold and awards a 100% discount! What is the probability that a customer gets a 10% or 20% discount?

Question 3 options:

.25

.50

.60

.75

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Question 4 (2.5 points)

 

Suppose that incoming calls per hour to a customer service center of a small credit union are uniformly distributed between 0 and 6 calls. What is the probability that more than 6 calls are received per hour?

Question 4 options:

0

1/7

2/7

3/7

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Question 5 (2.5 points)

 

A fast food restaurant just leased a new freezer and food fryer for three years. The service contract for the freezer offers unlimited repairs for a fee of $125 a year plus, a $35 service charge for each repair needed. The restaurant's research indicates that during a given year 80% of these freezers need no repairs, 11% needed to be serviced once, 5% twice, 4% three times, and none required more than three repairs. What are the mean and standard deviation of the restaurant's annual expense with the service contract for the freezer?

Question 5 options:

$128.65; $25.20

$128.65; $35.60

$136.55; $25.20

$136.55; $35.60

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Question 6 (2.5 points)

 

A small manufacturing company recently instituted Six Sigma training for its employees. Two methods of training were offered: online and traditional classroom. Management was interested in whether the employees' divisions affected their choice of method. Below is a table summarizing the data.

Sales

Quality

Operations

Total

Traditional

16

10

8

34

Online

35

23

44

102

Total

51

33

52

136

What is the probability that an employee chose online training given that he/she is in the sales division?

Question 6 options:

.17

.25

.69

.75

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Question 7 (2.5 points)

 

Internet service providers (ISP) need to resolve customer problems as quickly as possible. For one ISP, past data indicate that the likelihood is .80 that customer calls regarding Internet service interruptions are resolved within one hour. Out of the next 10 customer calls about interrupted service, answer the following question. How many customers would be expected to have their service problems resolved within one hour?

Question 7 options:

8 customers

7 customers

6 customers

4 customers

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Question 8 (2.5 points)

 

A service station stocks a specific automotive part in its inventory that has an 8% chance of being defective. Suppose many cars come into the service station needing this part each week. What is the expected number of parts retrieved until the first defective part?

Question 8 options:

9.5 parts

11.0 parts

12.0 parts

12.5 parts

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Question 9 (2.5 points)

 

A fast food restaurant just leased a new freezer and food fryer for three years. The service contract for the freezer offers unlimited repairs for a fee of $125 a year, plus a $35 service charge for each repair needed. The restaurant's research indicates that during a given year 80% of these freezers need no repairs, 11% needed to be serviced once, 5% twice, 4% three times, and none required more than three repairs. Find the standard deviation of the number of repairs per year.

Question 9 options:

0.52

0.64

0.72

0.74

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Question 10 (2.5 points)

 

During its grand opening week, Stickler's bicycle shop offers a "wheel of discount savings." After customers select the items they wish to purchase, they spin the wheel to determine the discount they will receive. The wheel is divided into 12 slices. Six slices are red and award a 10% discount, three slices are white and award a 20% discount, and two slices are blue and award a 40% discount. The remaining slice is gold and awards a 100% discount! What is the probability that a customer does NOT get at least a 40% discount?

Question 10 options:

.25

.35

.50

.75

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Question 11 (2.5 points)

 

One explanation put forth for the dearth of women CEOs in the high tech industry is that there are a lack of mentoring opportunities for women. A recent survey of CEOs in that industry found that 80% were men. Moreover, 75% had been mentored while only 15% were women and had been mentored.

Men

Women

Mentored

.60

.75

Not Mentored

.20

.05

.25

.80

.20

1.00

Are gender and mentoring independent?

Question 11 options:

It can not be determined by the table information provided.

They are codependent.

No, mentoring is not independent of gender.

Yes, mentoring is independent of gender.

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Question 12 (2.5 points)

 

As an incentive to get new customers, the local branch of a bank launched "bouncing for bucks." During this week long event, any customer opening a new checking account with the bank would have the opportunity to throw a bouncy rubber ball into a large box divided into squares. Each square was labeled with a dollar amount that would be deposited into his/her new checking account. The way the box was labeled is shown below.

10

30

10

30

10

20

10

50

10

20

What is the probability that a customer gets less than $20?

Question 12 options:

.20

.25

.50

.60

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Question 13 (2.5 points)

 

Suppose you visit Stickler's bicycle shop in the hopes of getting a 100% discount on your purchases by spinning a wheel that offers discounts. As you wait your turn in line, there are three gold winners in a row. The two customers in line behind you begin to discuss what has happened. One believes that the streak of three gold winners has killed anyone else's chances of getting a 100% discount, while the other says just the opposite… that the wheel's "hot streak" increases their chances of getting a 100% discount (gold winner). What do you think?

Question 13 options:

The probability of earning a 100% discount has decreased to a 50% chance of becoming a gold winner.

The probability of earning a 100% discount has decreased to a 25% chance of becoming a gold winner.

The probability of earning a 100% discount has increased to a 50% chance of becoming a gold winner.

The spins are independent, so if the wheel is fair the three gold winners in a row have no effect on the next person's chances.

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Question 14 (2.5 points)

 

A service station stocks a specific automotive part in its inventory that has an 8% chance of being defective. Suppose many cars come into the service station needing this part each week. What is the probability that the tenth part retrieved from stock is defective?

Question 14 options:

.0324

.0376

.0378

.0428

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Question 15 (2.5 points)

 

A recent survey of local cell phone retailers showed that of all cell phones sold last month, 64% had a camera, 28% had a music player and 22% had both. Is a cell phone having a camera and a music player mutually exclusive?

Question 15 options:

Yes, the intersection of these two events is zero.

Yes, the intersection of these two events is not zero.

No, the intersection of these two events is not zero.

No, the intersection of these two events is zero.

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Question 16 (2.5 points)

 

Internet service providers (ISP) need to resolve customer problems as quickly as possible. For one ISP, past data indicate that the likelihood is .80 that customer calls regarding Internet service interruptions are resolved within one hour. Out of the next 10 customer calls about interrupted service, answer the following question. What is the probability that at least 7 will be resolved within one hour?

Question 16 options:

.6590

.8791

.8896

.9001

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Question 17 (2.5 points)

 

Suppose that incoming calls per hour to a customer service center of a small credit union are uniformly distributed between 0 and 6 calls. What is the probability that at least 3 calls are received per hour?

Question 17 options:

2/7

3/7

4/7

0

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Question 18 (2.5 points)

 

During its grand opening week, Stickler's bicycle shop offers a "wheel of discount savings." After customers select the items they wish to purchase, they spin the wheel to determine the discount they will receive. The wheel is divided into 12 slices. Six slices are red and award a 10% discount, three slices are white and award a 20% discount, and two slices are blue and award a 40% discount. The remaining slice is gold and awards a 100% discount! What is the probability that a customer gets at least a 40% discount?

Question 18 options:

.20

.25

.50

.75

Save

Question 19 (2.5 points)

 

A small manufacturing company recently instituted Six Sigma training for its employees. Two methods of training were offered: online and traditional classroom. Management was interested in whether the employees' divisions affected their choice of method. Below is a table summarizing the data.

Sales

Quality

Operations

Total

Traditional

16

10

8

34

Online

35

23

44

102

Total

51

33

52

136

What is the probability that an employee is in the quality division and chose online training?

Question 19 options:

.17

.25

.69

.75

Save

Question 20 (2.5 points)

 

Suppose that incoming calls per hour to a customer service center of a small credit union are uniformly distributed between 0 and 6 calls. What is the probability that fewer than 3 calls are received per hour?

Question 20 options:

2/7

3/7

4/7

0

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Question 21 (2.5 points)

 

A company that sells eco-friendly cleaning products is concerned that only 19.5% of people who use such products select their brand. A marketing director suggests that the company invest in new advertising and labeling to strengthen its green image. The company decides to do so in a test market so that the effectiveness of the marketing campaign may be evaluated. In this context, describe the Type II error possible. How might such an error impact the company?

Question 21 options:

A Type II error would be failing to detect an increase in the percentage of customers buying the company's brand, when in fact it has. The company would miss an opportunity to increase the percentage of customers buying their brand.

A Type II error would be failing to detect an increase in the percentage of customers buying the company's brand, when in fact it has decreased. The company would miss an opportunity to increase the percentage of customers buying their brand.

A Type II error would be failing to detect a decrease in the percentage of customers buying the company's brand, when in fact it has. The company would miss an opportunity to increase the percentage of customers buying their brand.

A Type II error would be failing to detect a decrease in the percentage of customers buying the company's brand, when in fact it has increased. The company would miss an opportunity to decrease the percentage of customers buying their brand.

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Question 22 (2.5 points)

 

The owner of a pet store is trying to decide whether to discontinue selling specialty clothes for pets. She suspects that only 4% of the customers buy specialty clothes for their pets and thinks that she might be able to replace the clothes with more profitable items. Before making a final decision, she decides to keep track of the total number of customers for a day and whether they purchase specialty clothes. In a typical day there are 275 customers. What is the shape of the sampling distribution?

Question 22 options:

It is skewed to the right.

It is skewed to the left.

It cannot be determined from the information presented.

Normal

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Question 23 (2.5 points)

 

A company that sells eco-friendly cleaning products is concerned that only 19.5% of people who use such products select their brand. A marketing director suggests that the company invest in new advertising and labeling to strengthen its green image. The company decides to do so in a test market so that the effectiveness of the marketing campaign may be evaluated. Based on data collected in the test market, the company constructed a 98% confidence interval for the proportion of all consumers who might buy their brand. The resulting interval is 16% to 28%. What conclusion should the company reach about the new marketing campaign? Explain.

Question 23 options:

The 98% confidence interval contains the hypothesized value of 19.5%. Therefore, at a significant level of α = .01, the data does not provide convincing evidence that the marketing campaign increases the percentage of customers for the company's products.

The 98% confidence interval contains the hypothesized value of 18.5%. Therefore, at a significant level of α = .02, the data does not provide convincing evidence that the marketing campaign increases the percentage of customers for the company's products.

The 98% confidence interval contains the hypothesized value of 17.5%. Therefore, at a significant level of α = .02, the data does not provide convincing evidence that the marketing campaign increases the percentage of customers for the company's products.

The 98% confidence interval contains the hypothesized value of 19.5%. Therefore, at a significant level of α = .02, the data does not provide convincing evidence that the marketing campaign increases the percentage of customers for the company's products.

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Question 24 (2.5 points)

 

A company that sells eco-friendly cleaning products is concerned that only 19.5% of people who use such products select their brand. A marketing director suggests that the company invest in new advertising and labeling to strengthen its green image. The company decides to do so in a test market so that the effectiveness of the marketing campaign may be evaluated. Write the null and alternative hypotheses.

Question 24 options:

H0 : p > 0.195 and HA : p < 0.195

H0 : p < 0.195 and HA : p > 0.195

H0 : p = 0.195 and HA : p < 0.195

H0 : p = 0.195 and HA : p > 0.195

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Question 25 (2.5 points)

 

The owner of a pet store is trying to decide whether to discontinue selling specialty clothes for pets. She suspects that only 4% of the customers buy specialty clothes for their pets and thinks that she might be able to replace the clothes with more profitable items. Before making a final decision, she decides to keep track of the total number of customers for a day and whether they purchase specialty clothes. In a typical day there are 275 customers. What is the mean for the sampling distribution of the sample proportions?

Question 25 options:

0.03

0.04

0.05

0.52

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Question 26 (2.5 points)

 

A large software development firm recently relocated its facilities. Top management is interested in fostering good relations with their new local community and has encouraged their professional employees to engage in local service activities. They believe that the firm's professionals volunteer an average of more than 15 hours per month. If this is not the case, they will institute an incentive program to increase community involvement. A random sample of 24 professionals reported the following number of hours:

12

13

14

14

15

15

15

16

16

16

16

16

17

17

17

18

18

18

18

19

19

19

20

21

The sample has a mean of 16.6 hours and a standard deviation of 2.22 hours. In this context, describe the Type II error possible. How might such an error impact the software development firm? A Type II error would be:

Question 26 options:

correctly detecting that the average number of hours volunteered by the firm's professional employees is less than 15 hours, when in fact it is. The firm would waste money instituting an incentive program to increase community involvement among its professional employees.

correctly detecting that the average number of hours volunteered by the firm's professional employees is more than 15 hours, when in fact it is. The firm would waste money instituting an incentive program to increase community involvement among its professional employees.

failing to detect that the average number of hours volunteered by the firm's professional employees is more than 15 hours, when in fact it is. The firm would waste money instituting an incentive program to increase community involvement among its professional employees.

failing to detect that the average number of hours volunteered by the firm's professional employees is less than 15 hours, when in fact it is. The firm would waste money instituting an incentive program to increase community involvement among its professional employees.

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Question 27 (2.5 points)

 

Grandma Gertrude's Chocolates, a family owned business, has an opportunity to supply its product for distribution through a large coffee house chain. However, the coffee house chain has certain specifications regarding cacao content as it wishes to advertise the health benefits (antioxidants) of the chocolate products it sells. The product with the highest % cacao at Grandma Gertrude's Chocolates averages 45% cacao with a standard deviation of 6%. Suppose quality control inspectors at the coffee house chain take a sample of 36 pieces of this chocolate product from an incoming shipment. What is the standard deviation of the sampling distribution of the sample mean?

Question 27 options:

2.3%

2%

1.3%

1%

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Question 28 (2.5 points)

 

EU (European Union) countries report that 46% of their labor force is female. The United Nations wants to determine if the percentage of females in the U.S. labor force is the same. Representatives from the United States Department of Labor plan to check a random sample of over 10,000 employment records on file to estimate the percentage of females in the U.S. labor force. Explain what 90% confidence means in this context.

Question 28 options:

If many random samples were taken, 90% of the confidence intervals produced would contain the actual percentage of all female employment records in the United States labor force.

If a random sample was taken, 90% of the confidence interval produced would contain the actual percentage of all female employment records in the United States labor force.

If many random samples were taken, 100% of the confidence intervals produced would contain the actual percentage of all female employment records in the United States labor force.

If many random samples were taken, 95% of the confidence intervals produced would contain the actual percentage of all female employment records in the United States labor force.

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Question 29 (2.5 points)

 

A company manufacturing computer chips finds that 8% of all chips manufactured are defective. Management is concerned that high employee turnover is partially responsible for the high defect rate. In an effort to decrease the percentage of defective chips, management decides to provide additional training to those employees hired within the last year. After training was implemented, a sample of 450 chips revealed only 27 defects. Was the additional training effective in lowering the defect rate? Write the null and alternative hypotheses.

Question 29 options:

H0 : p = 0.08 and HA : p > 0.08

H0 : p > 0.08 and HA : p < 0.08

H0 : p = 0.08 and HA : p < 0.08

H0 : p < 0.08 and HA : p > 0.08

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Question 30 (2.5 points)

 

A report on the U.S. economy indicates that 28% of Americans have experienced difficulty in making mortgage payments. A news organization randomly sampled 400 Americans from 10 cities named the "fastest dying cities in the U.S." (Forbes Magazine, August 2008) and found that 136 reported such difficulty. Does this indicate that the problem is more severe among these cities? Write the null and alternative hypotheses.

Question 30 options:

H0 : p = 0.25 and HA : p > 0.28

H0 : p = 0.25 and HA : p < 0.28

H0 : p = 0.28 and HA : p > 0.28

H0 : p = 0.28 and HA : p < 0.28

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Question 31 (2.5 points)

 

A company manufacturing computer chips finds that 8% of all chips manufactured are defective. Management is concerned that high employee turnover is partially responsible for the high defect rate. In an effort to decrease the percentage of defective chips, management decides to provide additional training to those employees hired within the last year. After training was implemented, a sample of 450 chips revealed only 27 defects. Was the additional training effective in lowering the defect rate? What is the value of the test statistic?

Question 31 options:

z = -1.56

z = 1.56

z = -1.64

z = 1.64

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Question 32 (2.5 points)

 

Grandma Gertrude's Chocolates, a family owned business, has an opportunity to supply its product for distribution through a large coffee house chain. However, the coffee house chain has certain specifications regarding cacao content as it wishes to advertise the health benefits (antioxidants) of the chocolate products it sells. The product with the highest % cacao at Grandma Gertrude's Chocolates averages 45% cacao with a standard deviation of 6 %. Suppose the inspectors sample 144 pieces of this chocolate product. How does the standard deviation of the sampling distribution of the sample mean change?

Question 32 options:

0.4%

0.5%

0.525%

0.6%

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Question 33 (2.5 points)

 

It is generally believed that electrical problems affect about 14% of new cars. An automobile mechanic conducts diagnostic tests on 128 new cars on the lot. What is the probability that in this group over 18% of the new cars will be found to have electrical problems?

Question 33 options:

0.0865

0.0899

0.0955

0.0985

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Question 34 (2.5 points)

 

EU (European Union) countries report that 46% of their labor force is female. The United Nations wants to determine if the percentage of females in the U.S. labor force is the same. Representatives from the United States Department of Labor plan to check a random sample of over 10,000 employment records on file to estimate the percentage of females in the U.S. labor force. They actually select a random sample of 525 employment records, and find that 229 of the people are females. Construct the 90% confidence interval.

Question 34 options:

Confidence interval: (0.3998, 0.5722)

Confidence interval: (0.3988, 0.4722)

Confidence interval: (0.3988, 0.5722)

Confidence interval: (0.3998, 0.4722)

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Question 35 (2.5 points)

 

A large software development firm recently relocated its facilities. Top management is interested in fostering good relations with their new local community and has encouraged their professional employees to engage in local service activities. They believe that the firm's professionals volunteer an average of more than 15 hours per month. If this is not the case, they will institute an incentive program to increase community involvement. A random sample of 24 professionals reported the following number of hours:

12

13

14

14

15

15

15

16

16

16

16

16

17

17

17

18

18

18

18

19

19

19

20

21

The sample has a mean of 16.6 hours and a standard deviation of 2.22 hours. State your conclusion using α = .05.

Question 35 options:

We reject the null hypothesis. The firm needs to institute an incentive program because the evidence indicates that professional employees volunteer an average of more than 15 hours per month in their local community.

We do not reject the null hypothesis. The firm shouldn't need to institute an incentive program because the evidence indicates that professional employees volunteer an average of more than 15 hours per month in their local community.

We do not reject the null hypothesis. The firm needs to institute an incentive program because the evidence indicates that professional employees volunteer an average of more than 15 hours per month in their local community.

We reject the null hypothesis. The firm shouldn't need to institute an incentive program because the evidence indicates that professional employees volunteer an average of more than 15 hours per month in their local community.

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Question 36 (2.5 points)

 

A company manufacturing computer chips finds that 8% of all chips manufactured are defective. Management is concerned that high employee turnover is partially responsible for the high defect rate. In an effort to decrease the percentage of defective chips, management decides to provide additional training to those employees hired within the last year. After training was implemented, a sample of 450 chips revealed only 27 defects. Was the additional training effective in lowering the defect rate? What is the associated P-value?

Question 36 options:

P-value = 0.0594

P-value = 0.0574

P-value = 0.0544

P-value = 0.0494

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Question 37 (2.5 points)

 

The owner of a pet store is trying to decide whether to discontinue selling specialty clothes for pets. She suspects that only 4% of the customers buy specialty clothes for their pets and thinks that she might be able to replace the clothes with more profitable items. Before making a final decision, she decides to keep track of the total number of customers for a day and whether they purchase specialty clothes. In a typical day there are 275 customers. Surprised by the high number of customers who purchase specialty pet clothing on a particular day, the owner decided that her 4% estimate must have been too low. Determine how many pet clothing sales on a typical day would represent an unusually high number (more than 3 standard deviations above the mean)?

Question 37 options:

21 sales

23 sales

25 sales

31 sales

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Question 38 (2.5 points)

 

It is generally believed that electrical problems affect about 14% of new cars. An automobile mechanic conducts diagnostic tests on 128 new cars on the lot. Determine the standard deviation.

Question 38 options:

0.033

0.031

0.028

0.026

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Question 39 (2.5 points)

 

Grandma Gertrude's Chocolates, a family owned business, has an opportunity to supply its product for distribution through a large coffee house chain. However, the coffee house chain has certain specifications regarding cacao content as it wishes to advertise the health benefits (antioxidants) of the chocolate products it sells. The product with the highest % cacao at Grandma Gertrude's Chocolates averages 45% cacao with a standard deviation of 6%. In which case is it more likely that the inspectors will obtain a sample average of less than 44% cacao? Justify your answer. It is most likely that the inspectors will see an average of less than 44% if they sample only:

Question 39 options:

33 pieces of chocolate.

34 pieces of chocolate.

35 pieces of chocolate.

36 pieces of chocolate.

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Question 40 (2.5 points)

 

It is generally believed that electrical problems affect about 14% of new cars. An automobile mechanic conducts diagnostic tests on 128 new cars on the lot. What is the probability that in this group between 10% and 18% of the new cars will be found to have electrical problems?

Question 40 options:

0.702

0.703

0.800

0.803

Question 1 (5 points)

 

What affects flat panel LCD TV sales? Flat panel LCD TVs are sold through a variety of outlets. Sales figures (number of units) for the popular Sony Bravia were obtained for last quarter from a sample of 30 different stores. Also collected were data on the selling price and amount spent on advertising the Sony Bravia (as a percentage of total advertising expenditure in the previous quarter) at each store. Output is shown below.

Analysis of Variance

Source

DF

SS

MS

Regression

2

16477.3

8238.7

Residual Error

27

3038.0

112.5

Total

29

19515.4

Based on the output shown below, how much of the variability in sales is explained by the estimated multiple regression model?

Question 1 options:

6.90%

15.57%

29%

84.43%

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Question 2 (5 points)

 

In determining the best companies to work for, a number of variables are considered, including size, average annual pay, and turnover rate, etc. Employee surveys are often conducted in order to assess aspects of the organization's culture, such as trust and openness to change. A sample of 33 companies was randomly selected and data collected on the average annual bonus and turnover rate (%). A questionnaire was also administered to the employees of each company to arrive at a trust index (measured on a scale of 0 – 100). The output is shown below.

Dependent Variable is Turnover Rate

Predictor

Coef

SE Coef

T

P

Constant

12.1005

0.7826

15.46

0.000

Trust Index

-0.07149

0.01966

-3.64

0.001

Average Bonus

-0.0007216

0.0001481

-4.87

0.000

S = 1.49746 R-Sq = 79.6% R-Sq(adj) = 78.3%

What is the estimated multiple regression model?

Question 2 options:

Turnover Rate = 0.01966 Trust Index + 0.0001481 Average Bonus

Turnover Rate = 0.7826 + 0.01966 Trust Index + 0.0001481 Average Bonus

Turnover Rate = 12.1005 – 0.07149 Trust Index – 0.0007216 Average Bonus

Turnover Rate = 12.1005 + 0.07149 Trust Index + 0.0007216 Average Bonus

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Question 3 (5 points)

 

What affects flat panel LCD TV sales? Flat panel LCD TVs are sold through a variety of outlets. Sales figures (number of units) for the popular Sony Bravia were obtained for last quarter from a sample of 30 different stores. Also collected were data on the selling price and amount spent on advertising the Sony Bravia (as a percentage of total advertising expenditure in the previous quarter) at each store. The results are shown below.

Dependent Variable is Turnover Rate

Predictor

Coef

SE Coef

T

P

Constant

90.19

25.08

3.60

0.001

Price

-0.03055

0.01005

-3.04

0.005

Advertising

3.0926

0.3680

8.40

0.000

S = 10.6075 R-Sq = 84.4% R-Sq(adj) = 83.3%

The correct null and alternative hypotheses for testing the regression coefficient of price is:

Question 3 options:

H0: βP ≠ 0 vs. HA : β P = 0

H0: βP ≥ 0 vs. HA : β P < 0

H0: βP ≤ 0 vs. HA : β P > 0

H0: βP = 0 vs. HA : β P ≠ 0

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Question 4 (5 points)

 

Data gathered from various telecommunication companies (e.g. cable, phone, internet service providers) and utility companies (electric, fuel, etc.) were merged into one data warehouse. Suppose data mining is employed to answer the following questions. Which is considered a regression problem?

Question 4 options:

Whether or not a customer would be interested in wireless internet capabilities

How much does a customer spend on all household communication-related expenditures?

Whether or not a customer would be interested in flexible cable TV plans (subscribe to different channels on different days/times)

Both A and B

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Question 5 (5 points)

 

What affects flat panel LCD TV sales? Flat panel LCD TVs are sold through a variety of outlets. Sales figures (number of units) for the popular Sony Bravia were obtained for last quarter from a sample of 30 different stores. Also collected were data on the selling price and amount spent on advertising the Sony Bravia (as a percentage of total advertising expenditure in the previous quarter) at each store. The results are shown below.

Dependent Variable is Turnover Rate

Predictor

Coef

SE Coef

T

P

Constant

90.19

25.08

3.60

0.001

Price

-0.03055

0.01005

-3.04

0.005

Advertising

3.0926

0.3680

8.40

0.000

S = 10.6075 R-Sq = 84.4% R-Sq(adj) = 83.3%

Using the estimated multiple regression model, the number of units sold on average at a store that sells the Sony Bravia for $2199 and spends 10% of its advertising budget on the product is:

Question 5 options:

53.94 units.

66.54 units.

90.34 units.

120 units.

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Question 6 (5 points)

 

In determining the best companies to work for, a number of variables are considered, including size, average annual pay, and turnover rate, etc. Employee surveys are often conducted in order to assess aspects of the organization's culture, such as trust and openness to change. A sample of 33 companies was randomly selected and data collected on the average annual bonus and turnover rate (%). A questionnaire was also administered to the employees of each company to arrive at a trust index (measured on a scale of 0 – 100). The output is shown below.

Dependent Variable is Turnover Rate

Predictor

Coef

SE Coef

T

P

Constant

12.1005

0.7826

15.46

0.000

Trust Index

-0.07149

0.01966

-3.64

0.001

Average Bonus

-0.0007216

0.0001481

-4.87

0.000

 

 

 

 

S = 1.49746 R-Sq = 79.6% R-Sq(adj) = 78.3%

At α = .01 we can conclude that:

Question 6 options:

the multiple regression model is significant overall.

trust Index is a significant independent variable in explaining turnover rate.

Average Annual Bonus is a significant independent variable in explaining
turnover rate.

All of the above

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Question 7 (5 points)

 

In determining the best companies to work for, a number of variables are considered, including size, average annual pay, and turnover rate, etc. Employee surveys are often conducted in order to assess aspects of the organization's culture, such as trust and openness to change. A sample of 33 companies was randomly selected and data collected on the average annual bonus and turnover rate (%). A questionnaire was also administered to the employees of each company to arrive at a trust index (measured on a scale of 0 – 100). The output is shown below.

Dependent Variable is Turnover Rate

Predictor

Coef

SE Coef

T

P

Constant

12.1005

0.7826

15.46

0.000

Trust Index

-0.07149

0.01966

-3.64

0.001

Average Bonus

-0.0007216

0.0001481

-4.87

0.000

S = 1.49746 R-Sq = 79.6% R-Sq(adj) = 78.3%

A company having a trust index score of 70 and an average annual bonus of $6500 has a predicted turnover rate of:

Question 7 options:

1.9%.

2.4%.

3.5%.

4.2%.

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Question 8 (5 points)

 

Describe the phases of the data mining process in order.

Question 8 options:

Data understanding, business understanding, modeling, data preparation, evaluation of models using test data set, and deployment.

Business understanding, data understanding, data preparation, modeling, evaluation of models using test data set, and deployment.

Data understanding, business understanding, data preparation, modeling, evaluation of models using test data set, and deployment.

Business understanding, data understanding, data preparation, evaluation of models using test data set, modeling, and deployment.

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Question 9 (5 points)

 

What affects flat panel LCD TV sales? Flat panel LCD TVs are sold through a variety of outlets. Sales figures (number of units) for the popular Sony Bravia were obtained for last quarter from a sample of 30 different stores. Also collected were data on the selling price and amount spent on advertising the Sony Bravia (as a percentage of total advertising expenditure in the previous quarter) at each store. The results are shown below.

Dependent Variable is Turnover Rate

Predictor

Coef

SE Coef

T

P

Constant

90.19

25.08

3.60

0.001

Price

-0.03055

0.01005

-3.04

0.005

Advertising

3.0926

0.3680

8.40

0.000

S = 10.6075 R-Sq = 84.4% R-Sq(adj) = 83.3%

The correct interpretation of the regression coefficient for Price is:

Question 9 options:

increasing the price of the Sony Bravia by $100 will result in at least 3 fewer TVs sold.

for a given amount spent on advertising, a $100 increase in price of the Sony Bravia is associated with a decrease in sales of 3.055 units, on average.

holding the amount spent on advertising constant, an increase of $100 in the price of the Sony Bravia will decrease sales by 3.055 units.

holding the amount spent on advertising constant, an increase of $100 in the price of the Sony Bravia will decrease sales by .03%.

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Question 10 (5 points)

 

Data gathered from various telecommunication companies (e.g. cable, phone, internet service providers) and utility companies (electric, fuel, etc.) were merged into one data warehouse. Below are some of the variables for which data were collected. Which is/are transactional?

Question 10 options:

Type of cell phone plan

Zip code

Household income

Both A and B

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Question 11 (5 points)

 

Data gathered from various telecommunication companies (e.g., cable, phone, internet service providers) and utility companies (electric, fuel, etc.) were merged into one data warehouse. Cell phone plan and number of residents: which are transactional and which are demographic?

Question 11 options:

Type of cell phone plan-Transactional; Number of residents in household-Demographic.

Type of cell phone plan-Transactional; Number of residents in household-Transactional.

Type of cell phone plan-Demographic; Number of residents in household-Demographic.

Type of cell phone plan-Demographic; Number of residents in household-Transactional.

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Question 12 (5 points)

 

Popular data mining tools inspired by models that tried to mimic the function of the brain are known as:

Question 12 options:

tree models.

supervised problems.

neural networks.

nodal network.

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Question 13 (5 points)

 

What affects flat panel LCD TV sales? Flat panel LCD TVs are sold through a variety of outlets. Sales figures (number of units) for the popular Sony Bravia were obtained for last quarter from a sample of 30 different stores. Also collected were data on the selling price and amount spent on advertising the Sony Bravia (as a percentage of total advertising expenditure in the previous quarter) at each store. The results are shown below.

Dependent Variable is Turnover Rate

Predictor

Coef

SE Coef

T

P

Constant

90.19

25.08

3.60

0.001

Price

-0.03055

0.01005

-3.04

0.005

Advertising

3.0926

0.3680

8.40

0.000

S = 10.6075 R-Sq = 84.4% R-Sq(adj) = 83.3%

The calculated t-statistic to determine if amount spent on advertising is a significant independent variable in explaining Sony Bravia sales is:

Question 13 options:

-3.04.

3.60.

8.40.

10.61.

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Question 14 (5 points)

 

Data gathered from various telecommunication companies (e.g. cable, phone, internet service providers) and utility companies (electric, fuel, etc.) were merged into one data warehouse. Suppose the goal of data mining using this data warehouse was to predict whether a household's telecommunication needs will increase, decrease or stay the same over the next year. What technique might be most appropriate for achieving this goal?

Question 14 options:

Neural network

Supervised problem

Tree model

Nodal network

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Question 15 (5 points)

 

Data gathered from various telecommunication companies (e.g. cable, phone, internet service providers) and utility companies (electric, fuel, etc.) were merged into one data warehouse. Below are some of the variables for which data were collected. Which is/are demographic?

Question 15 options:

Number of residents in household

Gender of head of household

Monthly electricity usage

Both A and B

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Question 16 (5 points)

 

In determining the best companies to work for, a number of variables are considered, including size, average annual pay, and turnover rate, etc. Employee surveys are often conducted in order to assess aspects of the organization's culture, such as trust and openness to change. A sample of 33 companies was randomly selected and data collected on the average annual bonus and turnover rate (%). A questionnaire was also administered to the employees of each company to arrive at a trust index (measured on a scale of 0 – 100). The output is shown below.

Dependent Variable is Turnover Rate

Predictor

Coef

SE Coef

T

P

Constant

12.1005

0.7826

15.46

0.000

Trust Index

-0.07149

0.01966

-3.64

0.001

Average Bonus

-0.0007216

0.0001481

-4.87

0.000

S = 1.49746 R-Sq = 79.6% R-Sq(adj) = 78.3%

Based on the output, the 95% confidence interval for the regression coefficient associated with Trust Index is:

Question 16 options:

-0.1116 to -0.0313

-0.1100 to -0.3296

-0.1049 to -0.0381

-0.0010 to -0.0004

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Question 17 (5 points)

 

In determining the best companies to work for, a number of variables are considered, including size, average annual pay, and turnover rate, etc. Employee surveys are often conducted in order to assess aspects of the organization's culture, such as trust and openness to change. A sample of 33 companies was randomly selected and data collected on the average annual bonus and turnover rate (%). A questionnaire was also administered to the employees of each company to arrive at a trust index (measured on a scale of 0 – 100). The output is shown below.

Dependent Variable is Turnover Rate

Predictor

Coef

SE Coef

T

P

Constant

12.1005

0.7826

15.46

0.000

Trust Index

-0.07149

0.01966

-3.64

0.001

Average Bonus

-0.0007216

0.0001481

-4.87

0.000

S = 1.49746 R-Sq = 79.6% R-Sq(adj) = 78.3%

The calculated F statistic to determine the overall significance of the estimated multiple regression model using average annual bonus and trust index to explain turnover rate is:

Question 17 options:

1.497

58.64

78.3

131.36

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Question 18 (5 points)

 

Data not used in building the model but used to evaluate the performance of the model is known as:

Question 18 options:

the terminal node.

the test set.

meta data.

the training set.

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Question 19 (5 points)

 

__________ allow(s) us to use algorithms that help us sort through multiple "what if" scenarios and approximate responses or anticipate outcomes. This further allows us to ascertain predictor variables.

Question 19 options:

Data mining

Regression analysis

Decision trees

Analysis of variance

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Question 20 (5 points)

 

Data gathered from various telecommunication companies (e.g., cable, phone, internet service providers) and utility companies (electric, fuel, etc.) were merged into one data warehouse. Suppose data mining is employed on this data warehouse to answer the following questions. Indicate whether these involve a classification or regression problem.

Is a customer interested in wireless internet capabilities?

How much does a customer spend on all household communication-related expenditures?

Is a customer interested in flexible cable TV plans (subscribe to different channels on different days/times)?

Question 20 options:

I is regression; II is regression; III is classification

I is classification; II is classification; III is regression

I is classification; II is regression; III is regression

I is classification; II is regression; III is classification

 



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