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The life of a certain type of automobile tire is normally distributed with mean 34,000 miles...

The life of a certain type of automobile tire is normally distributed with mean 34,000
miles and standard deviation 4000 miles. If a sample of 64 tires are independently
selected, what is the probability that the sample’s average life is between 33,500 and
34,125 miles?

Math   Statistics-And-Probability   
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Answer #1

The life of a certain type of automobile tire is normally distributed with mean 34,000
miles and standard deviation 4000 miles.

n = 64

We have result if X ~ N ( ,2)

then X̄ ~ N ( ,2/n )

The probability that the sample’s average life is between 33,500 and 34,125 miles is 0.4401.

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