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A study of the amount of time it takes a mechanic to rebuild the transmission for a certain car shows that the mean is 8.4 hours and the standard deviation is 1.8hours. If 40 mechanics are randomly selected, find the probability that their mean rebuild time exceeds 7.7 hours.
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Answer #1
Mean amount of time , μ = 8.4and the standard deviation , σ = 1.8the sample size ,n = 40P( mean rebuild time exceeds 7.7 hrs)= P (Xbar> 7.7)=P(Z> [(7.7-8.4)/(1.8/√40)]=P(Z>-2.46)=1- P(Z <= -2.46)=1- 0.0069=0.9931
answered by: mohsin
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