A sample of n 39 observations has a sample mean of x 5532 and a sample standard deviation of s 287 8 Consider the hypothesis testing problems (a) H0 5680 versus HA 5680 (b) H0 5450 versus HA 5450 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 I Ise a computer package to evaluate the p values exactly

Question: A sample of n = 39 observations has a sample mean of .x- = 5532 and a sample standard deviation of s = 287.8. Consider

A sample of n = 39 observations has a sample mean of .x- = 5532 and a sample standard deviation of s = 287.8. Consider the hypothesis testing problems
(a) H0: μ = 5680 versus HA: μ ≠ 5680
(b) H0: μ < 5450 versus HA: μ > 5450
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? I Ise a computer package to evaluate the p-values exactly.

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