# Question

To test H0: µ = 50 versus H1: µ ≠ 50, a simple random sample of size n = 15 is obtained from a population that is normally distributed. The sample mean is 48.1 and the sample standard deviation is 4.1.

(a) Why is it likely that the population from which the sample was drawn is normally distributed?

(b) Use the classical or P-value approach to decide whether to reject the statement in the null hypothesis at the a = 0.05 level of signiﬁcance.

(a) Why is it likely that the population from which the sample was drawn is normally distributed?

(b) Use the classical or P-value approach to decide whether to reject the statement in the null hypothesis at the a = 0.05 level of signiﬁcance.

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