Suppose at a pulmonologist's office the mean age of patients was 50 years of age with a standard deviation of 9 years. Assume patient ages are approximately normally distributed. We pull 25 records randomly and note the age of patients at a Pulmonologist's office. The ages are as follows: [20 points]

38, 41, 53, 52, 50, 49, 43, 21, 29, 39, 82, 74, 73 60, 61, 56, 56, 53, 51, 50, 48, 49, 56, 56, 55

(a) Find the mean, median, and modal age of a patient in the records pulled.

(b) Compute a Five-Number Summary of the data. Find any outliers.

(c) Make a boxplot of the data.

(d) What is the probability that a random sample 25 has this mean(part a) or greater?

(e) Find the probability that random sample of 25 records has a mean age of 53 or greater.

(f) Find the probability that a random sample of 25 records has a mean age between 49 and 51.