Question: 14 The data set cholest on the CD for this book includes cholesterol levels for heart attack patients and for a group of control patients. It is recommended that people try to keep their cholesterol level below 200. In the following Minitab output is for the control patients:

Test of mu = 200.00 vs mu < 200.00

Variable N Mean StDev SE Mean T P

Control 30 193.13 22.30 4.07 -1.69 0.051

a. What are the null and alternative hypotheses being tested? Write them in symbols.

B. What is the mean cholesterol level for the sample of control patients?

c. How many patients were in the sample?

d. Use the formula for the standard error of the mean to show how to compute the value of 4.07 reported by Minitab.

e. What values does Minitab report for the test statistic and the p-value?

f. Identify the numbers that were used to compute the t-statistic, and verify that the reported value is correct.

g. What conclusion would be made in this situation using a .05 level of significance?