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Hypothesis testing and sample size

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A sample of size n = 14 is selected from a normal population to construct a 95% confidence interval estimate for a population mean. The interval was computed to be (7.82 to 9.64). Determine the sample standard deviation. (4 pts)

Determine the p-value for each of the following hypothesis-testing situations: (4 pts)
a. H0: p = 0.25 and Ha: p  0.25; z test value = 1.84
b. H0: &#61549; &#61619; 13.5 and Ha: &#61549; < 13.5; t test value = -1.94 d.f. = 10

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