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A brake pad manufacturer claims its brake pads will last for 38,000 miles. You work for...

A brake pad manufacturer claims its brake pads will last for 38,000 miles. You work for a consumer protection agency and you are testing this manufacturer’s brake pads. Assume the life spans of the brake pads are normally distributed. You randomly select 50 brake pads. In your tests, the mean life of the brake pads is 37,650 miles. Assuming that σ = 1000 miles and that the manufacturer’s claim is correct, what is the probability that the mean of the sample is 37,650 miles or less?

A.

.6368
B.

.3632
C.

.0068
D.

.9932
math   Statistics-And-Probability   
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Answer #1

=P[Z<-2.47]

=0.0068...................by using Z table.

C) 0.0068

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