This document discusses hypotheses testing with a sample mean (?x) of 21 and 25 observations where the null hypothesis is that the population mean (?) is equal to 20. It then asks to repeat the test with ?x = 22 and describe how the test statistic and p-value change when ?x increases.

1. a. Given the following hypotheses, determine the p-value when ?x = 21, n = 25, and ? = 5.
H0: ? = 20
H1: ? / 20
b. Repeat part a with ?x = 22.
c. Describe what happens to the value of the test statistic and its p-value when the value of ?x
increases.
Solution
The test statistic becomes larger and the p-value becomes smaller.