Question

a) The average response time for 911 calls in a local community is 12 minutes, with a standard deviation of 5 minutes. The town supervisor has instituted a new responsiveness training program to reduce response time. The mean response time for the first 36 calls following the training program was 10.6 minutes Test the hypothesis that the responsiveness training program reduced the response time for the community’s 911 calls. Test the hypothesis at the .01 level of significance. Use the step-by-step process illustrated in the text and in my class notes.

b) Even when you have conducted a hypothesis test correctly, statistical decisions are based on probability and therefore, they may be correct or in error. Suppose you have made an error in your decision for the hypothesis test in Part a of this question. Please answer the following questions about this error:

• What kind of error have you made?

• Can you determine the probability of this error? If yes, then indicate the probability of the error and how you determined the probability. If no, explain what factors would influence the probability of this error.

• What might you do in the future to decrease the probability of making this error?

Answer 1