Understanding Basic Statistics 6th Edition by Charles Henry Brase,Corrinne Pellillo Brase

Exercise 19

Basic Computation: Find the Test Statistic, Corresponding P-value, and Conclude Test A random sample of size 16 from a normal distribution with = 3 produced a sample mean of 4.5.
(a) Check Requirements Is the
distribution normal Explain.
(b) Compute the sample test statistic z under the null hypothesis H 0 : = 6.3.
(c) For H 1 : 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.