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It is known that the amount of time needed to change the oil on a car is normally distributed with a standard deviation of 5 minutes. The amount of time to complete a random sample of 10 oil changes was recorded and listed here. Compute the 99% confidence interval estimate of the mean of the population.

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Answer:

-4.08 <x< 4.08

Step-by-step explanation:

For the given information,

[tex]\sigma = 5\\n= 10\\ci = 99%[/tex]

From the tables for 99% confidence interval we have a Z-value of 2.58

[tex]Range= z*\frac{\sigma}{\sqrt{n}}\\Range= (2.58)\frac{5}{\sqrt{10}}\\Range = 4.08[/tex]

[tex]-4.08 <x< 4.08[/tex]

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