Identify the null and alternative hypothesis, test statistic, P-value,critical values and state the final conclusion that addreses the original claim:
The trend of thinner Miss America winners has generated charges that the contest encourages unhealthy diet habits among young women. Listed below are body mass indexes (BM) for recent Miss America winners. Use a 0.01 significance level to test the claim that recent Miss America winners are from a population with a mean BMI less than 20.16 which was the BME for winners from the 1920's and 1930's. Do recent winners appear to be significantly different from those in the 1920's and 1930's?
19.5 20.3 19.6 20.2 17.8 17.9 19.1 18.8 17.6 16.8
The solution provides step by step method for the calculation of testing of hypothesis. Formula for the calculation and Interpretations of the results are also included. Interactive excel sheet is included. The user can edit the inputs and obtain the complete results for a new set of data.