Question

*****Please answer ALL questions*****

Question 6 (1 point)

A statistics professor wants to examine the number of hours that seniors and freshmen study for the final. Specifically, the professor wants to test if the average number of hours that seniors study is greater than the average number of hours that freshmen study. If the seniors are considered group 1 and the freshmen are considered group 2, what are the hypotheses for this scenario?

Question 6 options:

	1) HO: μ1 < μ2 HA: μ1 ≥ μ2
	2) HO: μ1 > μ2 HA: μ1 ≤ μ2
	3) HO: μ1 = μ2 HA: μ1 ≠ μ2
	4) HO: μ1 ≥ μ2 HA: μ1 < μ2
	5) HO: μ1 ≤ μ2 HA: μ1 > μ2

Question 7 (1 point)

A pharmaceutical company is testing a new drug to increase memorization ability. It takes a sample of individuals and splits them randomly into two groups: group 1 takes the drug, group 2 takes a placebo. After the drug regimen is completed, all members of the study are given a test for memorization ability with higher scores representing a better ability to memorize. Those 21 participants on the drug had an average test score of 21.85 (SD = 4.22) while those 28 participants not on the drug (taking the placebo) had an average score of 20.94 (SD = 6.504). You use this information to perform a test for two independent samples with hypotheses Null Hypothesis: μ₁ = μ₂, Alternative Hypothesis: μ₁ ≠ μ₂. What is the test statistic and p-value? Assume the population standard deviations are equal.

Question 7 options:

	1) Test Statistic: -0.558, P-Value: 0.5795
	2) Test Statistic: 0.558, P-Value: 0.5795
	3) Test Statistic: 0.558, P-Value: 0.7103
	4) Test Statistic: 0.558, P-Value: 0.2898
	5) Test Statistic: 0.558, P-Value: 1.7103

Question 8 (1 point)

You are interested in whether the average lifetime of Duracell AAA batteries is greater than the average lifetime of Energizer AAA batteries. You lay out your hypotheses as follows: Null Hypothesis: μ₁ ≤ μ₂, Alternative Hypothesis: μ₁ > μ₂. After running a two independent samples t-test, you see a p-value of 0.6598. What is the appropriate conclusion?

Question 8 options:

	1) 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.
	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 a significant difference exists between the average lifetime of Duracell AAA batteries and the average lifetime of Energizer AAA batteries.
	4) The average lifetime of Duracell AAA batteries is significantly greater than the average lifetime of Energizer AAA batteries.
	5) The average lifetime of Duracell AAA batteries is less than or equal to the average lifetime of Energizer AAA batteries.

Question 9 (1 point)

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 the hypothesis that students who study one week before score less than students who study the night before. A hypothesis test for two independent samples is run based on your data and a p-value is calculated to be 0.0362. What is the appropriate conclusion?

Question 9 options:

	1) The average score of students who study one week before a test is significantly different from the average score of students who wait to study until the night before a test.
	2) The average score of students who study one week before a test is greater than or equal to the average score of students who wait to study until the night before a test.
	3) The average score of students who study one week before a test is significantly greater than the average score of students who wait to study until the night before a test.
	4) We did not find enough evidence to say the average score of students who study one week before a test is less than the average score of students who wait to study until the night before a test.
	5) The average score of students who study one week before a test is significantly less than the average score of students who wait to study until the night before a test.

Question 10 (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 less 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 10 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

Answer 1