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

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The true average diameter of ball bearings of a certain type issupposed to be 0.5 inch.
What conclusion is appropriate when testing H₀: Î¼ =0.5 versus H_a: Î¼ â‰ 0.5 inch in each of the followingsituations?
(a)Â Â Â Â
n = 15, t = 1.8, Î± = 0.05
1. Reject H₀
2.Fail to rejectH₀Â Â Â Â

(b)Â Â Â Â
n = 15, t = âˆ’1.8, Î± = 0.05
1. Reject H₀
2. Fail to rejectH₀Â Â Â Â

(c)Â Â Â Â
n = 27, t = âˆ’2.5,Î± = 0.01
1. Reject H₀
_2. Fail to rejectH₀Â Â Â Â

(d)Â Â Â Â
n = 27, t = âˆ’3.7
1. Reject H₀ at any reasonable significancelevel
2. Fail to reject H₀ at any reasonablesignificance levelÂ Â Â Â

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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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