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Question 10 (1 point)

You are looking for a way to incentivize the sales reps that youare in charge of. You design an incentive plan as a way to helpincrease in their sales. To evaluate this innovative plan, you takea random sample of your reps, and their weekly incomes before andafter the plan were recorded. You calculate the difference inincome as (after incentive plan - before incentive plan). Youperform a paired samples t-test with the following hypotheses: NullHypothesis: μ_D ≤ 0, Alternative Hypothesis:μ_D > 0. You calculate a p-value of 0.3076. What isthe appropriate conclusion of your test?

Question 10 options:

	1) The average difference in weekly income is significantly largerthan 0. The average weekly income was higher after the incentiveplan.
	2) The average difference in weekly income is less than or equalto 0.
	3) We did not find enough evidence to say there was asignificantly positive average difference in weekly income. Theincentive plan does not appear to have been effective.
	4) We did not find enough evidence to say there was asignificantly negative average difference in weekly income. Theincentive plan does not appear to have been effective.
	5) We did not find enough evidence to say the average differencein weekly income was not 0. The incentive plan does not appear tohave been effective.

Question 11 (1 point)

You are looking for a way to incentivize the sales reps that youare in charge of. You design an incentive plan as a way to helpincrease in their sales. To evaluate this innovative plan, you takea random sample of your reps, and their weekly incomes before andafter the plan were recorded. You calculate the difference inincome as (after incentive plan - before incentive plan). Youperform a paired samples t-test with the following hypotheses: NullHypothesis: μ_D ≤ 0, Alternative Hypothesis:μ_D > 0. You calculate a p-value of 0.0474. What isthe appropriate conclusion of your test?

Question 11 options:

	1) We did not find enough evidence to say there was asignificantly positive average difference in weekly income. Theincentive plan does not appear to have been effective.
	2) The average difference in weekly income is significantly largerthan 0. The average weekly income was higher after the incentiveplan.
	3) The average difference in weekly income is significantlydifferent from 0. There is a significant difference in weeklyincome due to the incentive plan.
	4) The average difference in weekly income is significantly lessthan 0. The average weekly income was higher before the incentiveplan.
	5) The average difference in weekly income is less than or equalto 0.

Question 12 (1 point)

Consumers Energy states that the average electric bill acrossthe state is $62.74. You want to test the claim that the averagebill amount is actually less than $62.74. The hypotheses for thissituation are as follows: Null Hypothesis: μ ≥ 62.74, AlternativeHypothesis: μ < 62.74. If the true statewide average bill is$51.97 and the null hypothesis is not rejected, did a type I, typeII, or no error occur?

Question 12 options:

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

Question 13 (1 point)

Consumers Energy states that the average electric bill acrossthe state is $57.42. You want to test the claim that the averagebill amount is actually greater than $57.42. The hypotheses forthis situation are as follows: Null Hypothesis: μ ≤ 57.42,Alternative Hypothesis: μ > 57.42. If the true statewide averagebill is $24.71 and the null hypothesis is rejected, did a type I,type II, or no error occur?

Question 13 options:

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