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A scientist has read that the mean birth weight, mu, of babies born at full term is 7.5 pounds. The scientist, believing that mu is greater than this value, plans to perform a statistical test. She selects a random sample of birth weights of babies born at full term and finds the mean of the sample to be 7.7 pounds and the standard deviation to be 1.8 pounds.
Based on this information, answer the questions below.
What are the null hypothesis (H0) and the alternative hypothesis (H1) that should be used for the test?
In the contect of this, what is a Type II error?
Suppose that the scientist decides not to reject the null hypothesis. What sort of error might she be making?
