Luna is interested in reducing the mean recovery time for patients after experiencing a serious injury (assume recovery times are normally distributed). Suppose the mean recovery time is presently 8.6 months.

semra takes a random sample of 46 patients that have experienced

serious injury to participate in a new treatment program and finds the sample mean is 8.1

months and a sample standard deviation of 1.2 months. Using a = 0.05, answer the following

questions.

a) What is the setup for your null and alternative hypothesis?

b) What is the value of the test statistic?

c) What is/are the critical value(s)?

d) Using the appropriate level of confidence, what is the confidence interval?

e) What is the interpretation (not your conclusions) of the confidence interval (in the context of the problem) you obtained in part c?

f) What is the p value?

g) What is the interpretation (not your conclusions) of the p value in the context of the problem you found in part e?

h) What are your conclusions in the context of the problem? Relate your conclusions to the test statistic and critical value, confidence interval and p value.