For the hypothesis test show the following stepsStep 0: Check the requirementsStep 1: State the hypothesis and identify claimStep 2: find critical valueStep 3: Compute the test value. Draw a distribution using the cv and test value. Step 4: Make the decisionStep 5: summarize results

2. (10 pts) Beauty standards change as society changes. In reviewing statistics for the Miss America Pageant winners, it was observed that the body mass index (BMI) for winners has seemed to decrease over the years. This trend has caused the pageant to come under scrutiny with charges that unhealthy eating habits are being encouraged among young women. Below are statistics for the body mass index (BMI) for Miss America winners from two different time periods. Construct a 90% confidence interval for the difference between the mean BMI of recent winners and the mean BMI of winners from the 1920s and 1930s. Does the confidence interval support the claim that the recent contestants have a lower BMI than past winners? Time period C Mean Standard deviation 2000-2010 18.01 1.29 1920-1930 20.36 1.48