Ch 10 Q14 Data from the Framingham Study allow us to comare

Ch 10. Q14

Data from the Framingham Study allow us to comare the distributions of intial serum cholesterol levels for two populations of males: those who go on to develop coronary heart disease an those who do not. The mean serum cholesterol level of the population of men who do not develop heart disease is = 219 mg/100 ml an the standard deviation = 41 mg/100 ml. Suppose, however, that you o not know the true population mean; instead, hyou hypothesize that is equal to 244 mg/100 ml. This is the mean initial serum cholesterol level of men who eventually develop the disease. Since it is believed that the mean serum cholesterol level for the men who do not develop heart disease cannot be higher than the mean level for men who do, a one sided test conducted at the = 0.05 level of significance is appropriate.

a) What is the probability of making a type 1 error?

b) If a sample of size 25 is selected from the population of men who do not go on to develop coronary heart disease, what is the probability of making a type 2 error?

c) What is the power of the test?

d) How could you increase the power?

Solution