Suppose that a random sample of eight observations X1, ,X8 is taken from the normal distribution with unknown mean and unknown variance 2, and it is desired to test the following hypotheses H0 0, H1 0 Suppose also that the sample data are such that 11 2 and 43 7 If a symmetric t test is performed a...

When 0 0 the statistic U given by Eq 952 has ...

Suppose that a random sample of eight observations X1, . . . ,X8 is taken from the

Question:

Suppose that a random sample of eight observations X1, . . . ,X8 is taken from the normal with unknown mean μ and unknown variance σ2, and it is desired to test the following hypotheses:
H0: μ = 0,
H1: μ = 0.
Suppose also that the sample data are such that −11.2 and = 43.7. If a symmetric t test is performed at the level of significance 0.10 so that each tail of the critical region has probability 0.05, should the hypothesis H0 be rejected or not? Distribution
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