MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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A baseball pitcher, concerned about losing speed from his fastball, undertook a new training regimen during the offseason. His team's pitching coach measured the speed of 20 random fastballs (in miles per hour) thrown by the pitcher during spring training, and compared it with a sample of 20 random fastballs thrown during the pitcher's last five starts in the previous season. The results are shown in the following table.

Assume that the pitcher's fastball speeds had a standard deviation of 2.9 miles per hour both before and after the training regimen and that the speeds for both time periods are normally distributed. Let the pitcher's fastball speeds in the previous season be the first sample, and let the pitcher's fastball speeds in spring training be the second sample.

At the 0.05 level of significance, is there evidence that the pitcher is throwing fastballs at higher speeds?

Find the test statistic, rounded to two decimal places, and the p-value, rounded to three decimal places.

 

 
 
 
 
 
Last Season's Fastball This Season's Fastball
92 90    
91 95    
96 93    
94 94    
92 91    
94 95    
92 97    
95 92    
94 97    
93 92    
96 93    
89 92    
95 97    
94 93    
91 95    
95 96    
94 92    
94 97    
90 99    
95 93    
 
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