Suppose a candidate running for sheriff claims that she will reduce the average speed of emergency response to less than 30minutes, which is thought to be the average responses time with the current sheriff. There are no pastrecords, so, the actual standard deviation of response times cannot be determined. Thanks to thiscampaign, she is electedsheriff, and careful records are now maintained. The response times for the first month are26, 30,28, 29,25, 28,32, 35,24, and 23 minutes.

Using the .05 level ofsignificance, is there a change in the response times with the newsheriff? Go through the steps of hypothesis testing.

1. Nullhypothesis:

2. Researchhypothesis:

3. What is the mean of the comparisondistribution?

4. What is the standard error(standard deviation) of the comparisondistribution?

5. What is thecut-off score(critical value) for rejecting the nullhypothesis?

6. Calculate thet-test (no need to show yourcalculations). Report thet-value and degrees of freedom in APAform:

7. What is your decision about whether or not to reject the nullhypothesis?

8. Write one sentence to describe the findings of your analysis.