Test Hypotheses About a Population Proportion
-A Statistics Professor at an All-Men's

Test Hypotheses about a Population Proportion
-A statistics professor at an all-men's college determined that the standard deviation of men's heights is $2.5$ inches. The professor then randomly selected 41 female students from a nearby all-female college and found the standard deviation to be $2.9$ inches. Test the professor's claim that the standard deviation of female heights is greater than $2.5$ inches. Use $\alpha = 0.01$ .