To test whether a golf ball of brand A can be hit a

Chapter 8, Problem 12E

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QUESTION:

To test whether a golf ball of brand A can be hit a greater distance off the tee than a golf ball of brand B, each of 17 golfers hit a ball of each brand, 8 hitting ball A before ball B and 9 hitting ball B before ball A. The results in yards are as follows:

Assume that the differences of the paired A distance and B distance are approximately normally distributed, and test the null hypothesis \(H_{0}: \mu_{D}=0\) against the alternative hypothesis \(H_{1}: \mu_{D}>0\), using a paired \(t\) test with the 17 differences. Let \(\alpha=0.05)\).

Equation Transcription:

 

 


Text Transcription:

H_0:mu_D=0  

H_1:mu_D>0  

t  

sigma=0.05

Questions & Answers

QUESTION:

To test whether a golf ball of brand A can be hit a greater distance off the tee than a golf ball of brand B, each of 17 golfers hit a ball of each brand, 8 hitting ball A before ball B and 9 hitting ball B before ball A. The results in yards are as follows:

Assume that the differences of the paired A distance and B distance are approximately normally distributed, and test the null hypothesis \(H_{0}: \mu_{D}=0\) against the alternative hypothesis \(H_{1}: \mu_{D}>0\), using a paired \(t\) test with the 17 differences. Let \(\alpha=0.05)\).

Equation Transcription:

 

 


Text Transcription:

H_0:mu_D=0  

H_1:mu_D>0  

t  

sigma=0.05

ANSWER:

Step 1 of 3

Given data

Null hypothesis:

Alternative hypothesis:

Number of samples:

Significance level:

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