Question

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 different from the amount absorbed by women (group 2). A random sample of 167 male workers and 188 female workers showed an average lead absorption in the blood of 9.7 (SD = 0.975) and 9.62 (SD = 0.724), 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: μ₁ = μ₂, Alternative Hypothesis: μ₁ ≠ μ₂. What is the test statistic and p-value of this test?

Question 14 options:

	1) Test Statistic: 0.884, P-Value: 1.8114
	2) Test Statistic: 0.884, P-Value: 0.3773
	3) Test Statistic: 0.884, P-Value: 0.1887
	4) Test Statistic: -0.884, P-Value: 0.3773
	5) Test Statistic: 0.884, P-Value: 0.8114

Question 15 (1 point)

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 if the average age of males is greater than the average age of females. If the owner conducts a hypothesis test for two independent samples and calculates a p-value of 0.0095, what is the appropriate conclusion? Label males as group 1 and females as group 2.

Question 15 options:

	1) The average age of males is significantly different from the average age of females.
	2) The average age of males is less than or equal to the average age of females.
	3) We did not find enough evidence to say the average age of males is larger than the average age of females.
	4) The average age of males is significantly less than the average age of females.
	5) The average age of males is significantly larger than the average age of females.

Question 16 (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 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: μ_D ≤ 0, Alternative Hypothesis: μ_D > 0. You calculate a p-value of 0.907. What is the appropriate conclusion of your test?

Question 16 options:

	1) The average difference in weekly income is significantly larger than 0. The average weekly income was higher after 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) 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.
	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) The average difference in weekly income is less than or equal to 0.

Answer 1