Construct a Confidence Interval For $\mu _ { \mathrm { d } }$

Essay

Construct a confidence interval for $\mu _ { \mathrm { d } }$ , the mean of the differences d for the population of paired data. Assume that the
population of paired differences is normally distributed.
-A random sample of 16 women resulted in blood pressure levels with a standard deviation of 23 mm Hg. A
random sample of 17 men resulted in blood pressure levels with a standard deviation of 19.2 mm Hg. Use a 0.05
significance level to test the claim that blood pressure levels for women vary more than blood pressure levels
for men.