Question

Does the amount of hazardous material absorbed by the bodies of hazardous waste workers depend on gender? The level of lead in the blood was determined for a sample of men and a sample of women who dispose of hazardous waste as a full time job. You want to test the hypotheses that the amount absorbed by men is less than the amount absorbed by women. After performing a hypothesis test for two independent samples, you see a p-value of 0.0463. Of the following, which is the appropriate conclusion?

Question 15 options:

	1) The average amount of lead absorbed by men is significantly greater than the average amount of lead absorbed by women.
	2) The average amount of lead absorbed by men is significantly less than the average amount of lead absorbed by women.
	3) We did not find enough evidence to say the average amount of lead absorbed by men is less than the average amount of lead absorbed by women.
	4) The average amount of lead absorbed by men is greater than or equal to the average amount of lead absorbed by women.
	5) The average amount of lead absorbed by men is significantly different from the average amount of lead absorbed by women.

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 0.0034. What is the appropriate conclusion of your test?

Question 16 options:

	1) 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.
	2) The average difference in weekly income is greater than or equal to 0.
	3) The average difference in weekly income is significantly larger than 0. The average weekly income was higher after the incentive plan.
	4) The average difference in weekly income is significantly different from 0. There is a significant difference in weekly income due to the incentive plan.
	5) The average difference in weekly income is significantly less than 0. The average weekly income was higher before the incentive plan.

Consumers Energy states that the average electric bill across the state is $37.37. You want to test the claim that the average bill amount is actually different from $37.37. The hypotheses for this situation are as follows: Null Hypothesis: μ = 37.37, Alternative Hypothesis: μ ≠ 37.37. If the true statewide average bill is $95.97 and the null hypothesis is rejected, did a type I, type II, or no error occur?

Question 17 options:

	1) We do not know the degrees of freedom, so we cannot determine if an error has occurred.
	2) We do not know the p-value, so we cannot determine if an error has occurred.
	3) Type I Error has occurred.
	4) Type II Error has occurred
	5) No error has occurred.

Answer 1

15)as p value is not less than 0.05

We did not find enough evidence to say the average amount of lead absorbed by men is less than the average amount of lead absorbed by women.

16)

as p value is less than 0.05 ,

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

17)

No error has occurred. (as null hypothesis was false and we rejected it)