Swimming Average Narrative
Historically, the Average Time It Takes Jessica $\mu$

question 50

Essay

Swimming Average Narrative
Historically, the average time it takes Jessica to swim the 200 m butterfly is 148.4 seconds. Jessica would like to know if her average time has changed. She records her time on 50 randomly selected occasions and computes the mean to be 147.8 seconds with a standard deviation of 2.3 seconds.
-Let $\mu$ denote the true average delivery time of a letter from a specific carrier. For a large-sample z-test of H₀: $\mu$ = 3 versus H_a: $\mu$$\neq$ 3, find the p-value associated with each of the given values of the test statistic, and state whether each p-value will lead to a rejection of the null hypothesis when performing a level 0.05 test.
a. 2.16
b. 0.38
c. -2.81
d. 1.07
e. -0.68

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