Discuss the below:
Q: 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.
Determine the p-value for each of the following hypothesis-testing situations:
a. H0: p = 0.25 and Ha: p ≠ 0.25; z test value = 1.84
b. H0: μ ≥13.5 and Ha: μ < 13.5; t test value = -1.94 d.f. = 10