Chapter 10, Problem 9

The distribution of diastolic blood pressures for the population of female diabetics between the ages of 30 and 34 has an unknown mean _d and a standard deviation _d = 9.1 mm Hg. It may be useful to physicians to know whether the mean of this population is equal to the mean of the general population of females in this age group, 74.4 mm Hg.

a. What is the null hypothesis of the appropriate test?

b. What is the alternative hypothesis?

c. A sample of 10 diabetic women is selected; their mean diastolic blood pressure is x-bar_d= 84 mm Hg. Using this information, conduct a two-sided test at the = 0.05 level of significance. What is the p-value of the test?

d. What conclusion do you draw from the results of the test?

e. Would your conclusion have been different if you had chosen = 0.01 instead of = 0.05?

Reference:

Percentiles of t distribution link:

http://personal.psu.edu/acq/401/tables/t.pdf

According to my book,

df = 0.10 = 90% (link)

df = 0.05 = 95% (link)

df = 0.025 = 97.5% (link)

df= 0.01 = 99% (link)

df = 0.005 = 99.5% (link)

df = 0.0005 = 99.9% (link)

Thank you.