sample of n = 12 observations has a sample mean of

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A sample of n = 12 observations has a sample mean of

Q4. A sample of n = 12 observations has a sample mean of X = 51 and a sample
standard deviation of s = 2.0. Consider the hypothesis testing problems:
(a) H, : µ = 55.0 versus H: µ ±55.0
A
(b) H, : µ265.0 versus H :µ <65.0
A
In each case, write down an expression for the p-value. What do the critical points
in Table III (of the text) tell you about the p-values? Use a computer package to
evaluate the p-values exactly.
(c) Test the above hypotheses by critical value approach.
Transcribed Image Text:Q4. A sample of n = 12 observations has a sample mean of X = 51 and a sample standard deviation of s = 2.0. Consider the hypothesis testing problems: (a) H, : µ = 55.0 versus H: µ ±55.0 A (b) H, : µ265.0 versus H :µ <65.0 A In each case, write down an expression for the p-value. What do the critical points in Table III (of the text) tell you about the p-values? Use a computer package to evaluate the p-values exactly. (c) Test the above hypotheses by critical value approach.
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