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The tread life of tires mounted on light-duty trucks follows the normal probability distribution with a population mean of 60,000 miles and a population standard deviation of 4,000 miles. Suppose we select a sample of 40 tires and use a simulator to determine the tread life. What is the standard error of the mean?

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JeanaShupp

Answer: 632.46

Step-by-step explanation:

The formula to calculate the standard error is given by :-

[tex]S.E.=\dfrac{\sigma}{\sqrt{n}}[/tex]

Given : The tread life of tires mounted on light-duty trucks follows the normal probability distribution with a population mean of 60,000 miles and a population standard deviation of 4,000 miles.

i.e. [tex]\sigma= 4000[/tex]

Also, sample size : n=40

Then standard error of the mean will be :-

[tex]S.E.=\dfrac{4000}{\sqrt{40}}=632.455532034\approx632.46[/tex]

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