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P-value Method: Comparing the BMI's of Miss America Winners

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Please help with the following problem.

Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Use the p-value method for testing hypotheses. Identify the null and alternative hypotheses, test statistic, p-value, critical value, and state the final conclusion.

Listed below are body mass indexes (BMI) for recent Miss America winners.
BMI: 19.5, 20.3, 19.6, 20.2, 17.8, 17.9, 19.1, 18.8, 17.6, 16.8

Use a 0.01 significance level to test the claim that recent winners are from a population with a mean BMI less than 20.16, which was the BMI for winners from the 1920s and 1930s. Do recent winners appear to be significantly different from those in the 1920s and 1930s?

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Solution Summary

This solution helps answer a statistical problem involving a p-value method comparing BMIs of Miss America winners. It gives steps to rejecting a null hypothesis.

Solution Preview

Refer to attachment for solution.

H0: u = 20.16 vs. Ha: u does not equal 20.16

By calculating the provided data, X = ...

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