Question
In: Statistics and Probability
The head of maintenance at XYZ Rent-A-Car believes that the mean number of miles between services...
The head of maintenance at XYZ Rent-A-Car believes that the mean number of miles between services is 2135 miles, with a variance of 145,924
.
If he is correct, what is the probability that the mean of a sample of 40 cars would differ from the population mean by less than 29 miles? Round your answer to four decimal places.
Solutions
Expert Solution
Solution :
Given that,
=
/ 
n = 382 /
40 = 60.3995
= P[(-29) /60.3995 < (
- 
)
/
< (29) / 60.3995)]
= P(-0.48 < Z < 0.48)
= P(Z < 0.48) - P(Z < -0.48)
= 0.6844 - 0.3156
= 0.3688
Probability = 0.3688
orchestra answered 2 years agoRelated Solutions
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