The trend of thinner Miss America winners has generated charges that contest encourages unhealthy diet habits among young women. Listed below are body mass indexes (BMI) for current Miss America winners. Employ a 0.01 significance level to test the claim that recent Miss America winners are from population with mean BMI less than 20.16, which was the BMI for winners from the 1920's and 1930's Assume the sample is from an approximately normal distribution.
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