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 the following hypotheses at the level of significance 0 05 by using the two sided t test H0 20, H1 20 c From the data, construct the observed confidence interval for with confidence coefficient 0 95

Question: Suppose that nine observations are selected at random from the normal distribution with unknown mean and unknown variance 2, and for these nine observations

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.

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