#1. In an effort to increase awareness and prevention of hypertension in men, researchers collect a random sample of 466 men with hypertension and determine the age at which they were first diagnosed. The following is a summary of information collected:

Min: 27

Q1: 45

Median: 64

Mean: 56.3

Standard Deviation: 9.9

Q3: 68

Max: 71

a) What shape would you expect for this distribution? Explain.

b) What is the best point estimate for the average age that hypertension is first diagnosed in men?

c) Would it be usual for a person to be diagnosed with hypertension at age 35? Explain.

d) Are the conditions for constructing a confidence interval satisfied in this situation? Explain.

e) Give a summarizing statement to interpret the confidence interval in the context.

f) Based on this confidence interval, does it appear that the true average age that hypertension is first diagnosed in men is at least 55? Why or why not?

g) Without computation, explain how the confidence interval would be affected if the sample size was changed to 500 but the confidence level and standard deviation remained the same?