15. Given: 15. 60, 12. For each of the following scenarios, report z, the sample...

15. Given: 15. μ 60, σ 12. For each of the following scenarios, report zα, the sample z ratio, its p value, and the corresponding statistical decision. (Note: For a one-tailed test, assume that the sample result is consistent with the form of H1.)

(a) X 53, n 25, α 05 (two-tailed)

(b) X 62, n 30, α 01 (one-tailed)

(c) X 65, n 9, α 05 (two-tailed)

(d) X 59, n 1000, α 05 (two-tailed)

(e) X 54, n 50, α 001 (two-tailed)

(f) Why is the 1-point difference in Problem 15d statistically significant, whereas the 5-point difference in Problem 15c is not?