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Suppose the Annual rainfall (in inches) in 5 different locations in Hawaii are: 28, 18, 18,...

Suppose the Annual rainfall (in inches) in 5 different locations in Hawaii are: 28, 18, 18, 16, 14. A statistician wants to use this data to test the claim that the average rainfall in Hawaii is more than 16 inches. Assume significance level α=0.05 .   

a. What is the alternative hypothesis H1? What tailed test is this?

b. Determine the value of the Test Statistic.

c. What is the P-value?

d. Should the statistician Reject or Fail to Reject the Null Hypothesis?

e. What is the conclusion in plain English? (use the summary table provided in class)

f. Calculate the 90% Confidence Interval for the average rainfall in Hawaii

g. Are the confidence limits (in part (f)) consistent with the conclusion in part (e)? Why or why not?

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