Question 15

Do sit down restaurant franchises and fast food franchises differ significantly in stock price? Specifically, is the average stock price for sit-down restaurants greater than the average stock price for fast food restaurants? If sit down restaurants are considered group 1 and fast food restaurants are group 2, what are the hypotheses of this scenario?

Question 15 options:

1)H_O: ₁= ₂

H_A: _{1 2}

2)H_O: _{1 2}

H_A: ₁< ₂

3)H_O: ₁< ₂

H_A: _{1 2}

4)H_O: _{1 2}

H_A: ₁> ₂

5)H_O: ₁> ₂

H_A: _{1 2}

Question 16

It is believed that students who begin studying for final exams a week before the test score differently than students who wait until the night before. Suppose you want to test specifically that students who study earlier have an average score that is greater than the average score for students who wait to study. What are the hypotheses for this test if early studiers are group 1 and procrastinators are group 2?

Question 16 options:

1)H_O: _{1 2}

H_A: ₁< ₂

2)H_O: ₁> ₂

H_A: _{1 2}

3)H_O: ₁< ₂

H_A: _{1 2}

4)H_O: _{1 2}

H_A: ₁> ₂

5)H_O: ₁= ₂

H_A: _{1 2}

Question 17

The owner of a local golf course wants to examine the difference between the average ages of males and females that play on the golf course. Specifically, he wants to test is if the average age of males is greater than the average age of females. Assuming males are considered group 1 and females are group 2, this means the hypotheses he wants to tests are as follows: Null Hypothesis: _{1 2}, Alternative Hypothesis: ₁> ₂. He randomly samples 25 men and 26 women that play on his course. He finds the average age of the men to be 34.45 with a standard deviation of 13.092. The average age of the women was 31.68 with a standard deviation of 17.397. If the owner conducts a hypothesis test, what is the test statistic and what is the p-value? Assume the population standard deviations are the same.

Question 17 options:

1)Test Statistic: 0.641, P-Value: 0.2623

2)Test Statistic: -0.641, P-Value: 0.7377

3)Test Statistic: -0.641, P-Value: 0.2623

4)Test Statistic: 0.641, P-Value: 0.7377

5)Test Statistic: 0.641, P-Value: 0.5246

Question 18

Does the amount of hazardous material absorbed by the bodies of hazardous waste workers depend on gender? You want to test the hypotheses that the amount absorbed by men (group 1) is greater than the amount absorbed by women (group 2). A random sample of 165 male workers and 169 female workers showed an average lead absorbtion in the blood of 12.15 (SD = 1.326) and 12.3 (SD = 0.881), respectively (measured in micrograms/deciliter). Assuming that the population standard deviations are the same, perform a two independent samples t-test on the hypotheses Null Hypothesis: _{1 2}, Alternative Hypothesis: ₁> ₂. What is the test statistic and p-value of this test?

Question 18 options:

1)Test Statistic: 1.22, P-Value: 0.8883

2)Test Statistic: -1.22, P-Value: 1.7766

3)Test Statistic: -1.22, P-Value: 0.1117

4)Test Statistic: -1.22, P-Value: 0.8883

5)Test Statistic: 1.22, P-Value: 0.1117

Question 19

Do sit down restaurant franchises and fast food franchises differ significantly in stock price? Specifically, is the average stock price for sit-down restaurants different from the average stock price for fast food restaurants? A 2 sample t-test is run on data recorded from the stock exchange and a p-value is calculated to be 0.01. What is the appropriate conclusion?

Question 19 options:

1)The average stock price of sit-down restaurants is significantly greater than the average stock price of fast food restaurants.

2)The average stock price of sit-down restaurants is significantly less than the average stock price of fast food restaurants..

3)The average stock price of sit-down restaurants is significantly different from the average stock price of fast food restaurants.

4)The average stock price of sit-down restaurants is equal to the average stock price of fast food restaurants.

5)We did not find enough evidence to say a significant difference exists between the average stock price of sit-down restaurants and the average stock price of fast food restaurants.

Question 20

You are interested in whether the average lifetime of Duracell AAA batteries is different from the average lifetime of Energizer AAA batteries. You lay out your hypotheses as follows: Null Hypothesis: ₁= ₂, Alternative Hypothesis: _{1 2}. After running a two independent samples t-test, you see a p-value of 0.5644. What is the appropriate conclusion?

Question 20 options:

1)We did not find enough evidence to say a significant difference exists between the average lifetime of Duracell AAA batteries and the average lifetime of Energizer AAA batteries.

2)We did not find enough evidence to say the average lifetime of Duracell AAA batteries is greater than the average lifetime of Energizer AAA batteries.

3)We did not find enough evidence to say the average lifetime of Duracell AAA batteries is less than the average lifetime of Energizer AAA batteries.

4)The average lifetime of Duracell AAA batteries is equal to the average lifetime of Energizer AAA batteries.

5)The average lifetime of Duracell AAA batteries is significantly different from the average lifetime of Energizer AAA batteries.

Question 21

A medical researcher wants to examine the relationship of the blood pressure of patients before and after a procedure. She takes a sample of people and measures their blood pressure before undergoing the procedure. Afterwards, she takes the same sample of people and measures their blood pressure again. If the researcher wants to test if the blood pressure measurements after the procedure are greater than the blood pressure measurements before the procedure, what will the null and alternative hypotheses be? Treat the differences as (blood pressure after - blood pressure before).

Question 21 options:

1)H_O: _D 0

H_A: _D< 0

2)H_O: _D< 0

H_A: _D 0

3)H_O: _D 0

H_A: _D> 0

4)H_O: _D> 0

H_A: _D 0

5)H_O: _D= 0

H_A: _D 0

Question 22

The federal government recently granted funds for a special program designed to reduce crime in high-crime areas. A study of the results of the program in high-crime areas of Miami, Florida, are being examined to test the effectiveness of the program. The difference in crimes reported is calculated as (crimes after - crimes before). You want to test whether the average number of crimes reported after are less than the average number of crimes reported before. What are the hypotheses for this test?

Question 22 options:

1)H_O: _D< 0

H_A: _D 0

2)H_O: _D= 0

H_A: _D 0

3)H_O: _D> 0

H_A: _D 0

4)H_O: _D 0

H_A: _D< 0

5)H_O: _D 0

H_A: _D> 0

Question 23

A comparison between a major sporting goods chain and a specialty runners' store was done to find who had lower prices on running shoes. A sample of 39 different shoes was priced (in dollars) at both stores. To test whether the average difference is different from zero, the hypotheses are as follows: Null Hypothesis: _D= 0, Alternative Hypothesis: _D 0. If the average difference between the two stores (specialty - chain) is -0.88 with a standard deviation of 7.24, what is the test statistic and p-value?

Question 23 options:

1)Test Statistic: 0.759, P-Value: 0.452

2)Test Statistic: -0.759, P-Value: 0.774

3)Test Statistic: -0.759, P-Value: 1.774

4)Test Statistic: -0.759, P-Value: 0.452

5)Test Statistic: -0.759, P-Value: 0.226

Question 24

A comparison between a major sporting goods chain and a specialty runners' store was done to find who had lower prices on running shoes. A sample of 37 different shoes was priced (in dollars) at both stores. To test whether the average difference is greater than zero, the hypotheses are as follows: Null Hypothesis: _D 0, Alternative

Hypothesis: _D> 0. If the average difference between the two stores (specialty - chain) is 2.03 with a standard deviation of 8.69, what is the test statistic and p-value?

Question 24 options:

1)Test Statistic: 1.421, P-Value: 0.164

2)Test Statistic: -1.421, P-Value: 0.082

3)Test Statistic: -1.421, P-Value: 0.918

4)Test Statistic: 1.421, P-Value: 0.082

5)Test Statistic: 1.421, P-Value: 0.918

Question 25

You are looking for a way to incentivize the sales reps that you are in charge of. You design an incentive plan as a way to help increase in their sales. To evaluate this innovative plan, you take a random sample of your reps, and their weekly incomes before and after the plan were recorded. You calculate the difference in income as (after incentive plan - before incentive plan). You perform a paired samples t-test with the following hypotheses: Null Hypothesis: _D 0, Alternative Hypothesis: _D< 0. You calculate a p-value of 0.6268. What is the appropriate conclusion of your test?

Question 25 options:

1)The average difference in weekly income is significantly less than 0. The average weekly income was higher before the incentive plan.

2)We did not find enough evidence to say the average difference in weekly income was not 0. The incentive plan does not appear to have been effective.

3)The average difference in weekly income is greater than or equal to 0.

4)We did not find enough evidence to say there was a significantly negative average difference in weekly income. The incentive plan does not appear to have been effective.

5)We did not find enough evidence to say there was a significantly positive average difference in weekly income. The incentive plan does not appear to have been effective.

Question 26

A medical researcher wants to examine the relationship of the blood pressure of patients before and after a procedure. She takes a sample of people and measures their blood pressure before undergoing the procedure. Afterwards, she takes the same sample of people and measures their blood pressure again. The researcher wants to test if the blood pressure measurements after the procedure are different from the blood pressure measurements before the procedure. The hypotheses are as follows: Null Hypothesis: _D= 0, Alternative Hypothesis: _D 0. From her data, the researcher calculates a p-value of 0.7496. What is the appropriate conclusion? The difference was calculated as (after - before).

Question 26 options:

1)We did not find enough evidence to say the average difference in blood pressure was not 0.

2)The average difference in blood pressure is significantly different from 0. The blood pressures of patients differ significantly before and after the procedure.

3)We did not find enough evidence to say there was a significantly positive average difference in blood pressure.

4)We did not find enough evidence to say there was a significantly negative average difference in blood pressure.

5)The average difference in blood pressure is equal to 0.