(1) State the null hypothesis & alternative hypothesis;
Identify which is the claim.
(2) Identify the significance level.
(3) Calculate the test statistic.
(4) Sketch a graph and label it completely (test-stat, p-value, etc.).
(5) Determine whether to reject or fail-to-reject the null hypothesis.
(6) Write a final conclusion that addresses the original claim.
A statistics professor at an all-men's college determined that the standard deviation of men's heights is 3.0 inches. The professor then randomly selected 37 female students from a nearby all-female college and found the standard deviation to be 2.7 inches. Test the professor's claim that the standard deviation of female heights is lower than 3.0 inches. Use α = 0.10. Round your test statistic and p-value to three decimal places, as needed.