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Name: Billy wants to test whether the average speed of his favorite pitcher'
Uploaded: 2024-03-20T07:07:12.000Z
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Description: Billy wants to test whether the average speed of his favorite pitcher's fastball differs from the league average of 92 miles per hour. He takes a sample of 36 of the pitcher's fastballs and computes a sample mean of 94 miles per hour. Assume that the

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Billy wants to test whether the average speed of his favorite pitcher's fastball differs from the league average of 92 miles per hour. He takes a sample of 36 of the pitcher's fastballs and computes a sample mean of 94 miles per hour. Assume that the standard deviation of the population is 4 miles per hour.

a. Specify the null and alternative hypotheses to test Billy's claim.
b. Calculate the value of the test statistic and the p-value.
c. At the 5% significance level, can you conclude that Billy's favorite pitcher's fastball differs in speed from the league average?
d. At the 1% significance level, can you conclude that Billy's favorite pitcher's fastball differs in speed from the league average?

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