Diastolic blood pressure for diabetic women has a normaldistribution with unknown mean and a standard deviation equal to 10mmHg. Researchers want to know if the mean DBP of diabetic women isequal to the mean DBP among the general public, which is known tobe 76 mmHg. A sample of 10 diabetic women is selected and theirmean DBP is calculated as 85mmHg.
a. Conduct the appropriate hypothesis test at the 0.01significance level.
b. What would a Type-1 error in example setting be?
c. How much power do you have to detect a difference of 11 mmHgbetween men and women?
