Suppose that nine observations are selected at random from the normal distribution with unknown mean and unknown variance 2, and for these nine observations it is found that n 22 and a Carry out a test of the following hypotheses at the level of significance 0 05 H0 20, H1 20 b Carry out a test of ...

When 0 20 the statistic U given by Eq 952 has a t distribution with 8 degrees of freedom ...

Suppose that nine observations are selected at random from the normal distribution with unknown mean and

Question:

Suppose that nine observations are selected at random from the normal with unknown mean μ and unknown variance σ2, and for these nine observations it is found that n = 22 and
a. Carry out a test of the following hypotheses at the level of significance 0.05:
H0: μ ≤ 20,
H1: μ>20.
b. Carry out a test of the following hypotheses at the level of significance 0.05 by using the two-sided t test:
H0: μ = 20,
H1: μ = 20.
c. From the data, construct the observed confidence interval for μ with confidence coefficient 0.95.
Distribution
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