A sample of n 18 observations has a sample mean of x 57 74 and a sample standard deviation of s 11 20 Consider the hypothesis testing problems (a) H0 55 0 versus HA p 55 0 (b) H0 65 0 versus HA p 65 0 In each case, write down an expression for the p value What do the critical points in Table III tell you about the p values Use a computer package to evaluate the p values exactly

Question: A sample of n = 18 observations has a sample mean of x- = 57.74 and a sample standard deviation of s = 11.20. Consider

A sample of n = 18 observations has a sample mean of x- = 57.74 and a sample standard deviation of s = 11.20. Consider the hypothesis testing problems
(a) H0: μ = 55.0 versus HA: p ≠ 55.0
(b) H0: μ > 65.0 versus HA: p < 65.0
In each case, write down an expression for the p-value. What do the critical points in Table III tell you about the p-values? Use a computer package to evaluate the p-values exactly.

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