Question
In: Statistics and Probability
The operation manager at a tire manufacturing company believes that the mean mileage of a tire...
The operation manager at a tire manufacturing company believes that the mean mileage of a tire is 47,225 miles, with a standard deviation of 3178 miles. What is the probability that the sample mean would be greater than 47,050 miles in a sample of 208 tires if the manager is correct? Round your answer to four decimal places.
Solutions
Expert Solution
Solution :
Given that ,
mean = 
= 47225
standard deviation = 
= 3178
=
/ 
n = 3178 /
208 = 220.3547
P(
> 47050) = 1 - P(
< 47050)
= 1 - P[(
- 
) /
< (47050 - 47225) / 220.3547]
= 1 - P(z < -0.7942)
= 1 - 0.2135
= 0.7865
Probability = 0.7865
orchestra answered 2 years agoRelated Solutions
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mean lifetime mileage of 36,500 miles. Management also believes
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normally distributed. To promote the new tire, Grear has offered to
refund some money if the tire fails to reach 30,000 miles before
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