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# *****Please answer ALL Questions***** Question 11 (1 point) A comparison between a major sporting goods chain...

Question 11 (1 point)

A comparison between a major sporting goods chain and a specialty runners' store was done to find who had lower prices on running shoes. A sample of 34 different shoes was priced (in dollars) at both stores. To test whether the average difference is less than zero, the hypotheses are as follows: Null Hypothesis: μD ≥ 0, Alternative Hypothesis: μD < 0. If the average difference between the two stores (specialty - chain) is 0.86 with a standard deviation of 8.61, what is the test statistic and p-value?

Question 11 options:

 1) Test Statistic: -0.582, P-Value: 0.718
 2) Test Statistic: 0.582, P-Value: 1.436
 3) Test Statistic: 0.582, P-Value: 0.718
 4) Test Statistic: 0.582, P-Value: 0.282
 5) Test Statistic: -0.582, P-Value: 0.282

Question 12 (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: μD ≥ 0, Alternative Hypothesis: μD< 0. You calculate a p-value of 0.0365. What is the appropriate conclusion of your test?

Question 12 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 different from 0. There is a significant difference in weekly income due to the incentive plan.
 4) The average difference in weekly income is significantly larger than 0. The average weekly income was higher after 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.

Question 13 (1 point)

Consumers Energy states that the average electric bill across the state is \$46.83. You want to test the claim that the average bill amount is actually less than \$46.83. The hypotheses for this situation are as follows: Null Hypothesis: μ ≥ 46.83, Alternative Hypothesis: μ < 46.83. If the true statewide average bill is \$52.86 and the null hypothesis is not rejected, did a type I, type II, or no error occur?

Question 13 options:

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

Question 14 (1 point)

A medical researcher wants to determine if the average hospital stay of patients that undergo a certain procedure is less than 6.9 days. The hypotheses for this scenario are as follows: Null Hypothesis: μ ≥ 6.9, Alternative Hypothesis: μ < 6.9. If the actual mean is 9.5 days and the null hypothesis is rejected, did a type I, type II, or no error occur?

Question 14 options:

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

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