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The true average diameter of ball bearings of a certain type is supposed to be 0.5...

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Question

Statistics

The true average diameter of ball bearings of a certain type issupposed to be 0.5 inch.

What conclusion is appropriate when testing H0: μ =0.5 versus Ha: μ ≠ 0.5 inch in each of the followingsituations?

(a)    

n = 15, t = 1.8, α = 0.05

1. Reject H0

2.Fail to rejectH0    


(b)    

n = 15, t = −1.8, α = 0.05

1. Reject H0

2. Fail to rejectH0    


(c)    

n = 27, t = −2.5,α = 0.01

1. Reject H0

2. Fail to rejectH0    


(d)    

n = 27, t = −3.7

1. Reject H0 at any reasonable significancelevel

2. Fail to reject H0 at any reasonablesignificance level    

Answer & Explanation Solved by verified expert
4.0 Ratings (571 Votes)
SolutionGiven in the questionNull hypothesis H0 05Alternative hypothesis Ha 05Solutionan 15 so df n1 151 14t 18So from t table we found pvalue at df 14 and this is two tailedtestpvalue 00934So at    See Answer
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