Question: Basic Computation: Find the Test Statistic, Corresponding P-value, and Conclude Test A random sample of size 16 from a normal distribution with s 5 3

Basic Computation: Find the Test Statistic, Corresponding P-value, and Conclude Test A random sample of size 16 from a normal distribution with s 5 3 produced a sample mean of 4.5.

(a) Check Requirements Is the x distribution normal? Explain.

(b) Compute the sample test statistic z under the null hypothesis H0: m 5 6.3.

(c) For H1: m 6.3, estimate the P-value of the test statistic.

(d) For a level of signifi cance 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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