MA260 Module 7 Assignment Mini Case Study Part II

Assignment Instructions

Mini- Study Part II

Answer the questions below about your data adhering to the outlined criteria in complete sentences. Cite any outside sources that are used.

Item	Description
1	Treat your data just as you would one of the datasets from the homework. Be sure you include appropriate measures of central tendency and dispersion etc.
2	Construct a frequency distribution using 5 –8 classes.
3	Create 2 different but appropriate visual representations of your data (pie chart, bar graph, etc). You MUST use Excel to do this.
4	Complete the calculations for the 8 statistics you identified in your worksheet in week 3. You MUST use Excel to do this.
5	Write a brief paragraph describing the meaning or interpretation for EACH of the statistics. For example, if some of the statistics chosen were the mean, median and mode, which is the best measure?
6	Construct a 95% Confidence Interval to estimate the population mean/proportion in the claim.
7	Complete the calculations for the 8 statistics you identified in your What can you conclude from this result regarding the topic?
8	Write up the responses to these questions in an APA paper between 500-1,000 words.

 

 

   

 

Ashworth Semester Exam MA260 Statistical Analysis I 2020

Question 1
Is Drug B superior to the currently used Drug A in treating pancreatitis?
Observational
Case-controlled observational
Double blind experiment
Single blind experiment

Question 2
Research shows that 14% of 6th graders in K–6 schools have tried cigarettes and 61% of 7th graders in 7–9 middle schools have tried cigarettes. What is the absolute increase, to the nearest percent?
0.77
3.36
4.36
0.47

Question 3
Consider the following exam scores. 76 72 87 96 99 75 84 85 84 94 92 What is the range of the scores and what would be appropriate bins to place them in?
76–92; Bins: 70–80, 80–90, & 90–100
72–99; Bins: 70–75, 76–80, 81–85, 86–90, 91-95, & 96–100
72–99; Bins: 70–75, 75–80, 80–85, 85–90, 90–95, & 95–100
76–99; Bins: 70–75, 75–80, 80–85, 85–90, 90–95, & 95–100

Question 4
A bar graph in which the bars are arranged in frequency order is a:
dotplot.
pie chart.
line chart.
pareto chart.

Question 5
Amtrak trains from Chicago to Portland arrived at Havre, MT, where they make a crew change, the following numbers of minutes late: 26, 17, 245, 19, 38, 42, 11, 0, 14, 44 Find the mean number of minutes late at Havre (to one decimal place).
60
52.4
48.6
45.6

Question 6
Which one of the three variables below is most likely to be normally or nearly normally distributed? A. The results of throwing a die 1000 times B. The lengths of randomly selected white pine needles C. The number of people standing in line at five cash registers
A
B
C
None of the above

Question 7
The advertising for a cold remedy claimed that no other cold remedy acted faster. In an experiment to compare that remedy with another one, it did act faster on average, but the result wasn't significant. What does this mean?
The difference was so small that it could have happened by chance even if the remedies were equivalent.
The difference was so small that it could have happened by chance even if the remedies weren't equivalent.
The probability of the observed difference occurring by chance if the two remedies are equivalent was less than 0.05.
The population mean response times are different, but the samples didn't show it.

Question 8
There are 318 teachers at a college. Among a sample of 115 teachers from this college, 67 have doctorates. Based on this sample, estimate the population proportion of teachers at this college with doctorates.
0.42
185
0.61
0.58

Question 9
The standard score for a two-tailed test is 2.0. What is the P-value?
0.9772
0.0456
0.0228
97.72

Question 10
The _______ hypothesis states that the variables are independent (there's no relationship between them) and the _______ hypothesis states that there's a relationship between the two variables.
population; sample
alternative; null
sample; population
null; alternative

    

MA260 Assignment 08 2018

[08] Assignment 8

Assignment

 

Directions: Be sure to save an electronic copy of your answer before submitting it to Ashworth College for grading. Unless otherwise stated, answer in complete sentences, and be sure to use correct English, spelling, and grammar. Refer to the "Assignment Format" page located on the Course Home Page for specific format requirements.

NOTE: Show your work in the problems.

1. In the following situations, indicate whether you'd use the normal distribution, the t distribution, or neither.

a. The population is normally distributed, and you know the population standard deviation.
b. You don't know the population standard deviation, and the sample size is 35.
c. The sample size is 22, and the population is normally distributed.
d. The sample size is 12, and the population is not normally distributed.
e. The sample size is 45, and you know the population standard deviation.

2. The prices of used books at a large college bookstore are normally distributed. If a sample of 23 used books from this store has a mean price of $27.50 with a standard deviation of $6.75, use Table 10.1 in your textbook to calculate the following for a 95% confidence level about the population mean. Be sure to show your work.

a. Degrees of freedom
b. The critical value of t
c. The margin of error
d. The confidence interval for a 95% confidence level

3. Statistics students at a state college compiled the following two-way table from a sample of randomly selected students at their college:

	Play chess	Don't play chess
Male students	25	162
Female students	19	148

Answer the following questions about the table. Be sure to show any calculations.

a. How many students in total were surveyed?
b. How many of the students surveyed play chess? 
c. What question about the population of students at the state college would this table attempt to answer?
d. State Hº  and Hª for the test related to this table.

4. A   nswer the following questions about an ANOVA analysis involving three samples.

a. In this ANOVA analysis, what are we trying to determine about the three populations they're taken from?
b. State the null and alternate hypotheses for a three-sample ANOVA analysis. 
c. What sample statistics must be known to conduct an ANOVA analysis?
d. In an ANOVA test, what does an F test statistic lower than its critical value tell us about the three populations we're examining? 

    

    

MA260 Assignment 05 2018

Directions: Be sure to save an electronic copy of your answer before submitting it to Ashworth College for grading. Unless otherwise stated, answer in complete sentences, and be sure to use correct English, spelling, and grammar. Refer to the "Assignment Format" page located on the Course Home Page for specific format requirements.

NOTE: Show your work in the problems.

1. In families with four children, you're interested in the probabilities for the different possible numbers of girls in a family. Using theoretical probability (assume girls and boys are equally likely), compile a five-column table with the headings "0" through "4," for the five possible numbers of girl children in a four-child family. Then, using "G" for girls and "B" for boys, list under each heading the various birth-order ways of achieving that number of girls in a family.

Then, use your table to calculate the following probabilities:

a. The probability of 1 girl
b. The probability of 2 girls 
c. The probability of 4 girls
d. The probability the third child born is a girl

2. As pictured in Figure 6.11 of your textbook, a roulette wheel has 38 numbers: 18 odd black numbers from 1 to 35, 18 even red numbers from 2 to 36, and the two green numbers 0 and 00. Using theoretical probability, calculate the following:

a. The probability of spinning a green number
b. The probability of spinning a number greater than 30
c. The probability of spinning a red number less than 10
d. The probability of spinning an even black number
e. The expected total of green numbers in 57,000 spins

3. In a nationwide polls of 1,500 randomly selected U.S. residents, 77% said that they liked pizza. In a poll of 1,500 randomly selected U.S. residents one month later, 75% responded that they liked pizza.

a. Does the polling evidence support the claim that pizza declined in popularity over the month between polls? Explain why or why not.
b. Using statistical terminology, precisely identify the population parameter the two polls were attempting to measure. How does a parameter differ from a statistic?
c. Based on the two polls, what would you say to someone who guessed that the population parameter the polls are trying to measure is really only 50%?

4. Eleven people have eleven different favorite numbers from 2 to 12. They all agree to participate in a 10,000-roll dice game where they bet $1 on their favorite number for each roll of two standard (fair) dice. A donor kicks in an extra dollar every round, so the payoff if your number comes up is $12.

a. Assuming everyone bets on all 10,000 rounds, what is the expected value for a person who has number 7? (Show your calculations.)
b. Assuming everyone bets on all 10,000 rounds, what is the expected value for a person who has number 2? (Show your calculations.)

    

MA260 Assignment 04 2018

Directions: Be sure to save an electronic copy of your answer before submitting it to Ashworth College for grading. Unless otherwise stated, answer in complete sentences, and be sure to use correct English, spelling, and grammar. Refer to the "Assignment Format" page located on the Course Home Page for specific format requirements.

NOTE: Show your work in the problems.

1. In families with four children, you're interested in the probabilities for the different possible numbers of girls in a family. Using theoretical probability (assume girls and boys are equally likely), compile a five-column table with the headings "0" through "4," for the five possible numbers of girl children in a four-child family. Then, using "G" for girls and "B" for boys, list under each heading the various birth-order ways of achieving that number of girls in a family.

Then, use your table to calculate the following probabilities:

a. The probability of 1 girl
b. The probability of 2 girls 
c. The probability of 4 girls
d. The probability the third child born is a girl

2. As pictured in Figure 6.11 of your textbook, a roulette wheel has 38 numbers: 18 odd black numbers from 1 to 35, 18 even red numbers from 2 to 36, and the two green numbers 0 and 00. Using theoretical probability, calculate the following:

a. The probability of spinning a green number
b. The probability of spinning a number greater than 30
c. The probability of spinning a red number less than 10
d. The probability of spinning an even black number
e. The expected total of green numbers in 57,000 spins

3. In a nationwide polls of 1,500 randomly selected U.S. residents, 77% said that they liked pizza. In a poll of 1,500 randomly selected U.S. residents one month later, 75% responded that they liked pizza.

a. Does the polling evidence support the claim that pizza declined in popularity over the month between polls? Explain why or why not.
b. Using statistical terminology, precisely identify the population parameter the two polls were attempting to measure. How does a parameter differ from a statistic?
c. Based on the two polls, what would you say to someone who guessed that the population parameter the polls are trying to measure is really only 50%?

4. Eleven people have eleven different favorite numbers from 2 to 12. They all agree to participate in a 10,000-roll dice game where they bet $1 on their favorite number for each roll of two standard (fair) dice. A donor kicks in an extra dollar every round, so the payoff if your number comes up is $12.

a. Assuming everyone bets on all 10,000 rounds, what is the expected value for a person who has number 7? (Show your calculations.)
b. Assuming everyone bets on all 10,000 rounds, what is the expected value for a person who has number 2? (Show your calculations.)

    

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MA260 Lesson 8 Esam SCORE 95 PERCENT

Question 1

5 / 5 points

The following data were analyzed using one-way analysis of variance.
 

A	B	C
34	27	19
26	23	31
31	29	22
28	21	22

 
Which one of the following statements is correct?

Question options:

	a)  The purpose of the analysis is to determine whether the groups A, B, and C are independent.
	b)  The purpose of the analysis is to test the hypothesis that the population means of the three groups are equal.
	c)  The purpose of the analysis is to test the hypothesis that the population variances of the three groups are equal.
	d)  The purpose of the analysis is to test the hypothesis that the sample means of the three groups are equal.
Question 2			5 / 5 points

A golfer wished to find a ball that would travel more than 170 yards when hit with his 6-iron with a club head speed of 90 miles per hour. He had a golf equipment lab test a low-compression ball by having a robot swing his club 12 times at the required speed. State the null and alternative hypotheses for this test.

Question options:

	a)  H0:  µ > 170; Ha:  µ = 170
	b)  H0:  µ < 170; Ha:  µ = 170
	c)  H0:  µ = 170; Ha:  µ > 170
	d)  H0:  µ = 160; Ha:  µ > 160
Question 3			5 / 5 points

State the null and alternative hypothesis for the test associated with testing whether colorblindness and gender are dependent characteristics.

Question options:

	a)  H0:  Colorblindness and gender are dependent characteristics.     Ha:  Colorblindness and gender aren't related in any way.
	b)  H0:  Colorblindness and gender are dependent characteristics.     Ha:  Colorblindness and gender are related in some way.
	c)  H0:  Colorblindness and gender are independent characteristics.     Ha:  Colorblindness and gender aren't related in any way.
	d)  H0:  Colorblindness and gender are independent characteristics.       Ha:  Colorblindness and gender are related in some way.
Question 4			5 / 5 points

A golfer wished to find a ball that would travel more than 160 yards when hit with his 7-iron with a club speed of 90 miles per hour. He had a golf equipment lab test a low-compression ball by having a robot swing his club 8 times at the required speed. State the null and alternative hypotheses for this test.

Question options:

	a)  H0:  µ = 160; Ha:  µ > 150
	b)  H0:  µ = 150; Ha:  µ > 150
	c)  H0:  µ = 160; Ha:  µ > 160
	d)  H0:  µ = 140; Ha:  µ > 160
Question 5			5 / 5 points

One hundred people are selected at random and tested for colorblindness to determine whether gender and colorblindness are independent. The following counts were observed.
 

	Colorblind	Not Colorblind	Total
Male	8	52	60
Female	2	38	40
Total	10	90	100

 
Find the value of the χ² statistic for the data.

Question options:

	a)  1.463
	b)  1.852
	c)  1.947
	d)  1.949
Question 6			5 / 5 points

One hundred people are selected at random and tested for colorblindness to determine whether gender and colorblindness are independent. The following counts were observed.
 

	Colorblind	Not Colorblind	Total
Male	7	53	60
Female	1	39	40
Total	8	92	100

 
Find the value of the χ² statistic for the chart data.

Question options:

	a)  1.325
	b)  1.318
	c)  1.286
	d)  1.264
Question 7			5 / 5 points

A 95% confidence interval for the mean of a normal population is found to be 13.2 < µ < 22.4. What is the margin of error?

Question options:

	a)  4.6
	b)  4.4
	c)  4.2
	d)  5.6
Question 8			5 / 5 points

The following data were analyzed using one-way analysis of variance.
 

A	B	C
24	27	19
26	23	31
31	29	27
28	31	22

 
Which one of the following statements is correct?

Question options:

	a)  The purpose of the analysis is to determine whether the groups A, B, and C are independent.
	b)  The purpose of the analysis is to test the hypothesis that the population means of the three groups are equal.
	c)  The purpose of the analysis is to test the hypothesis that the population variances of the three groups are equal.
	d)  The purpose of the analysis is to test the hypothesis that the sample means of the three groups are equal.
Question 9			5 / 5 points

A golfer wished to find a ball that would travel more than 180 yards when hit with his 5-iron with a club speed of 90 miles per hour. He had a golf equipment lab test a low-compression ball by having a robot swing his club 7 times at the required speed. State the null and alternative hypotheses for this test.

Question options:

	a)  H0:  µ = 180; Ha:  µ > 180
	b)  H0:  µ > 180; Ha:  µ > 180
	c)  H0:  µ < 180; Ha:  µ > 180
	d)  H0:  µ = 180; Ha:  µ < 180
Question 10			5 / 5 points

A 95% confidence interval for the mean of a normal population is found to be 17.6 < µ < 23.6. What is the margin of error?

Question options:

	a)  2.0
	b)  2.7
	c)  3.0
	d)  4.0
Question 11			5 / 5 points

Which of the following statements is true?

Question options:

	a)  The p distribution can't be used when finding a confidence interval for the population mean with a small sample anytime the population standard deviation is unknown.
	b)  The t distribution can be used when finding a confidence interval for the population mean with a small sample anytime the population standard deviation is unknown.
	c)  The t distribution can't be used when finding a confidence interval for the population mean with a small sample anytime the population standard deviation is unknown.
	d)  The p distribution can be used when finding a confidence interval for the population mean with a small sample anytime the population standard deviation is unknown.
Question 12			5 / 5 points

One hundred people are selected at random and tested for colorblindness to determine whether gender and colorblindness are independent. The following counts were observed.
 

	Colorblind	Not Colorblind	Total
Male	8	52	60
Female	2	38	40
Total	10	90	100

 
If gender and colorblindness are independent, find the expected frequencies of colorblindness and non-colorblindness among 60 males. (Note: To answer this question, it may help to create your own 2 X 2 table of expected frequencies, based on the data for the random sample.)

Question options:

	a)  Male Colorblind 6.0; Male Not Colorblind 54.0
	b)  Male Colorblind 7.0; Male Not Colorblind 53.0
	c)  Male Colorblind 8.0; Male Not Colorblind 52.0
	d)  Male Colorblind 6.0; Male Not Colorblind 53.0
Question 13			5 / 5 points

One hundred people are selected at random and tested for colorblindness to determine whether gender and colorblindness are independent. The following counts were observed.

 

	Colorblind	Not Colorblind	Total
Male	7	53	60
Female	1	39	40
Total	8	92	100

 
If gender and colorblindness are independent, find the expected values corresponding to the female combinations of gender and colorblindness.

Question options:

	a)  Colorblind Female 4.8; Not Colorblind Female 55.2
	b)  Colorblind Female 3.2; Not Colorblind Female 36.8
	c)  Colorblind Female 4.8; Not Colorblind Female 35.2
	d)  Colorblind Female 3.8; Not Colorblind Female 36.2
Question 14			5 / 5 points

The critical value of χ² for a 2 x 2 table using a 0.05 significance level is 3.841. If the value of the χ² statistic in a test for the dependence of colorblindness on gender had been 4.613, state your conclusion about the relationship between gender and colorblindness.

Question options:

	a)  Reject H0. There's not sufficient evidence to support the claim that gender and colorblindness are related.
	b)  Reject H0. There's sufficient evidence to support the claim that gender and colorblindness are related.
	c)  Don't Reject H0. There's sufficient evidence to support the claim that gender and colorblindness are related.
	d)  Don't Reject H0. There's not sufficient evidence to support the claim that gender and colorblindness are related.
Question 15			5 / 5 points

State the null and alternative hypothesis for the testing whether colorblindness and gender are related.

Question options:

	a)  H0:  Colorblindness and gender are dependent characteristics.     Ha:  Colorblindness and gender are related in some way.
	b)  H0:  Colorblindness and gender are independent characteristics.     Ha:  Colorblindness and gender aren't related in any way.
	c)  H0:  Colorblindness and gender are dependent characteristics.     Ha:  Colorblindness and gender aren't related in any way.
	d)  H0:  Colorblindness and gender are independent characteristics.       Ha:  Colorblindness and gender are related in some way.
Question 16			5 / 5 points

A large test statistic F tells us that the sample means _______ the data within the individual samples, which would be unlikely if the populations means really were equal (as the null hypothesis claims).

Question options:

	a)  differ more than
	b)  differ less than
	c)  are equal to
	d)  don't vary with
Question 17			5 / 5 points

The margin of error in estimating the population mean of a normal population is E = 9.3 when the sample size is 15. If the sample size had been 18 and the sample standard deviation didn't change, would the margin of error be larger or smaller than 9.3? Explain your answer.

Question options:

	a)  Smaller. E decreases as the square root of the sample size gets larger.
	b)  Smaller. E increases as the square root of the sample size gets larger.
	c)  Larger. E decreases as the square root of the sample size gets larger.
	d)  Larger. E increases as the square root of the sample size gets larger.
Question 18			0 / 5 points

Data from 8 robot swings of a 7-iron at 90 miles per hour resulted in a sample mean of 163.2 yards with a sample standard deviation of 5.8 yards. Assuming normality, carry out a hypothesis test at the 0.05 significance level to determine whether the ball meets the golfer's required average of more than 160 yards per swing.  Use the partial t-table below to solve this problem.
 

Area in one tail

 

0.025

0.05

 

Area in two tails

 

Degrees of Freedom     n - 1	0.05	0.10
6	2.447	1.943
7	2.365	1.895
8	2.306	1.860
9	2.262	1.833
10	2.228	1.812
11	2.201	1.796
12	2.179	1.782

 

Question options:

	a)  Don't reject the null hypothesis. The data don't provide sufficient evidence that the average distance is greater than 160 yards.
	b)  Reject the null hypothesis. The data does provide sufficient evidence that the average distance is greater than 160 yards.
	c)  t = 1.2334; Critical value = 1.992
	d)  There's insufficient information to answer this question.
Question 19			5 / 5 points

One hundred people are selected at random and tested for colorblindness to determine whether gender and colorblindness are independent. The following counts were observed.
 

	Colorblind	Not Colorblind	Total
Male	7	53	60
Female	1	39	40
Total	8	92	100

 
If gender and colorblindness are independent, find the expected values corresponding to the male combinations of gender and colorblindness.

Question options:

	a)  Colorblind Male 4.8; Not Colorblind Male 55.2
	b)  Colorblind Male 6.8; Not Colorblind Male 53.2
	c)  Colorblind Male 4.8; Not Colorblind Male 55.4
	d)  Colorblind Male 4.8; Not Colorblind Male 56.2
Question 20			5 / 5 points

Which of the following statements is true?

Question options:

	a)  The t distribution can be used when finding a confidence interval for the population mean whenever the sample size is small.
	b)  The p distribution can be used when finding a confidence interval for the population mean whenever the sample size is small.
	c)  The t distribution can't be used when finding a confidence interval for the population mean whenever the sample size is small.
	d)  The p distribution can't be used when finding a confidence interval for the sample mean whenever the sample size is small.