Question: A random sample of size 16 from a normal distribution with = 3 produced a sample mean of 4.5. (a) Is the distribution

A random sample of size 16 from a normal distribution with σ = 3 produced a sample mean of 4.5.
(a) Is the  distribution normal? Explain.
(b) Compute the sample test statistic z under the null hypothesis H0: μ = 6.3.
(c) For H1: μ < 6.3, estimate the P-value of the test statistic.
(d) For a level of significance of 0.01 and the hypotheses of parts (b) and (c), do you reject or fail to reject the null hypothesis? Explain.

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