Question

Question 5 (1 point)

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? A hypothesis test for two independent samples is run on data recorded from the stock exchange and a p-value is calculated to be 0.4864. What is the appropriate conclusion?

Question 5 options:

	1) 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.
	2) We did not find enough evidence to say the average stock price of sit-down restaurants is less than the average stock price of fast food restaurants.
	3) The average stock price of sit-down restaurants is significantly greater than the average stock price of fast food restaurants.
	4) We did not find enough evidence to say the average stock price of sit-down restaurants is greater than the average stock price of fast food restaurants.
	5) The average stock price of sit-down restaurants is less than or equal to the average stock price of fast food restaurants.

Question 6 (1 point)

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 different from 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 6 options:

	1) HO: μD ≥ 0 HA: μD < 0
	2) HO: μD ≠ 0 HA: μD = 0
	3) HO: μD = 0 HA: μD ≠ 0
	4) HO: μD > 0 HA: μD ≤ 0
	5) HO: μD ≤ 0 HA: μD > 0

Question 7 (1 point)

A new gasoline additive is supposed to make gas burn more cleanly and increase gas mileage in the process. Consumer Protection Anonymous conducted a mileage test to confirm this. They took a sample of their cars, filled it with regular gas, and drove it on I-94 until it was empty. They repeated the process using the same cars, but using the gas additive. Using the data they found, they performed a paired t-test with data calculated as (with additive - without additive). If they want to test whether mileage with the additive is greater than mileage without the additive, what are the hypotheses for this test?

Question 7 options:

	1) HO: μD ≥ 0 HA: μD < 0
	2) HO: μD < 0 HA: μD ≥ 0
	3) HO: μD = 0 HA: μD ≠ 0
	4) HO: μD ≤ 0 HA: μD > 0
	5) HO: μD > 0 HA: μD ≤ 0

Question 8 (1 point)

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 48 of your reps and their weekly incomes before and after the plan were recorded. You calculate a difference in income as (after incentive plan - before incentive plan). You are interested in if sales after the program are different from sales before the program. You perform a paired samples t-test with the hypotheses of Null Hypothesis: μ_D = 0, Alternative Hypothesis: μ_D ≠ 0. You see that the average difference in sales was $7.2 with a standard deviation of $185.58. What is the test statistic and p-value of this test?

Question 8 options:

	1) Test Statistic: 0.269, P-Value: 0.3945
	2) Test Statistic: 0.269, P-Value: 0.6055
	3) Test Statistic: 0.269, P-Value: 0.789
	4) Test Statistic: 0.269, P-Value: 1.6055
	5) Test Statistic: -0.269, P-Value: 0.789

Question 9 (1 point)

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 50 of your reps and their weekly incomes before and after the plan were recorded. You calculate a difference in income as (after incentive plan - before incentive plan). You are interested in if sales after the program are greater than sales before the program. You perform a paired samples t-test with the hypotheses of Null Hypothesis: μ_D ≤ 0, Alternative Hypothesis: μ_D > 0. You see that the average difference in sales was $-14.33 with a standard deviation of $281.86. What is the test statistic and p-value of this test?

Question 9 options:

	1) Test Statistic: -0.359, P-Value: 0.36
	2) Test Statistic: 0.359, P-Value: 0.36
	3) Test Statistic: -0.359, P-Value: 1.28
	4) Test Statistic: -0.359, P-Value: 0.64
	5) Test Statistic: 0.359, P-Value: 0.64

Answer 1