Suppose we wish to test the hypotheses H0 : μ = 10 versus Ha : μ < 10, where μ representsthe mean age of non-high school aged children who are members of a large gymnasticsclub in a metropolitan area. Assume age follows a Normal distribution with  = 2. Arandom sample of 16 ages is drawn from the population, and we find the sample mean ofthese observations to be ¯ x = 8.76.(a) What is the value of the test statistic?(b) What is the value of the P-value?

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Suppose we wish to test the hypotheses H0 : μ = 10 versus Ha : μ < 10, where μ represents
the mean age of non-high school aged children who are members of a large gymnastics
club in a metropolitan area. Assume age follows a Normal distribution with  = 2. A
random sample of 16 ages is drawn from the population, and we find the sample mean of
these observations to be ¯ x = 8.76.
(a) What is the value of the test statistic?
(b) What is the value of the P-value?

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