Question

A random sample of 40 new baseballs is obtained. Each baseball is dropped onto a concrete...

A random sample of 40 new baseballs is obtained. Each baseball is dropped onto a concrete surface from the same height and the bounce height is measured. The sample mean of bounce heights 92.67 inches and the sample standard deviation is 1.79 inches. Test the claim that the new baseballs have a mean bounce height less than the mean bounce height of old baseballs, 92.84 inches.

Math   Statistics-And-Probability   
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Answer #1

Since in your question level of significance alpha is NOT given. So I will assumed it as 0.05

NULL HYPOTHESIS H0: inches

ALTERNATIVE HYPOTHESIS Ha: inches LEFT TAILED TEST

alpha= 0.05

t= xbar-mean/s/sqrt(n)

t= 92.67-92.84/1.79/sqrt(40)

t= -0.17/1.79/6.32

t= -0.17/0.28

t= -0.607

Degrees of freedom= n-1=40-1=39

The P-Value is .273684.The result is not significant because p > .05.

Decsion: Fail to reject null hypothesis H0

Conclusion: We dont have sufficient evidence to conclude that new baseballs have a mean bounce height less than the mean bounce height of old baseballs, 92.84 inches.

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