Question: To test H0: = 100 versus H1: > 100, a simple random sample of size n = 35 is obtained from an unknown

To test H0: µ = 100 versus H1: µ > 100, a simple random sample of size n = 35 is obtained from an unknown distribution. The sample mean is 104.3 and the sample standard deviation is 12.4.

(a) To use the t-distribution, why must the sample size be large?

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

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