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The heights of 11-year old boys in the United States are normally distributed.   A random sample of...

  1. The heights of 11-year old boys in the United States are normally distributed.   A random sample of 9 boys was taken and their mean height (in inches) was 56.67 and their sample standard deviation was 3 inches.  Perform a hypothesis test at the 10% significance level to determine if the mean height of 11-year old boys is more than 54 inches.  Give the hypotheses, test statistic, rejection region, P-value, decision, and interpretation.
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