Suppose that a random sample X1, ,Xn is to be taken from the normal distribution with unknown mean and unknown variance 2, and the following hypotheses are to be tested H0 3, H1 3 Suppose also that the sample size n is 17, and it is found from the observed values in the sample that n 3 2 and (1 n) 0 09 Calculate the value of the statistic U, and find the corresponding p value

Question: Suppose that a random sample X1, . . . ,Xn is to be taken from the normal distribution with unknown mean and unknown variance

Suppose that a random sample X1, . . . ,Xn is to be taken from the normal with unknown mean μ and unknown variance σ2, and the following hypotheses are to be tested:
H0: μ ≤ 3,
H1: μ > 3.
Suppose also that the sample size n is 17, and it is found from the observed values in the sample that n = 3.2 and (1/n) = 0.09. Calculate the value of the statistic U, and find the corresponding p-value.

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