Question
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?
Homework Answers
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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