A random sample of size 20 from a normal distribution with 4 produced a sample mean of 8 (a) Is the distribution normal Explain (b) Compute the sample test statistic z under the null hypothesis H0 7 (c) For H1 7, estimate the P value of the test statistic (d) For a level of significance of 0 05 and the hypotheses of parts (b) and (c), do you reject or fail to reject the null hypothesis Explain

Question: A random sample of size 20 from a normal distribution with = 4 produced a sample mean of 8. (a) Is the distribution

A random sample of size 20 from a normal with σ = 4 produced a sample mean of 8.
(a) Is the normal? Explain.
(b) Compute the sample test statistic z under the null hypothesis H0: μ = 7.
(c) For H1: μ ≠ 7, estimate the P-value of the test statistic.
(d) For a level of significance of 0.05 and the hypotheses of parts (b) and (c), do you reject or fail to reject the null hypothesis? Explain.

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