The age of a sample of 17 asthma patients is given by the following list: 18 21 21 22 25 27 31 34 37 39 46 47 48 53 54 63 65

The sample mean is 38.29412 and sd=15.14416

a. Draw a histogram or a normal quantile plot of the data and comment on interesting features of the data. Is there a large departure from normality? Can you assume the population is normal?

b. Calculate a 95% two-sided confidence interval for the mean age of asthma patients. Which interval is appropriate?

If we want to test the hypothesis that the average age of Asma patients is 45. Which test is appropriate? Use p-value to obtain the test result. Explain in words the result from the hypothesis test about the mean of asthma patients.