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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 14,000 miles. Suppose we select a sample of 140 tires and use a simulator to determine the tread life. What is the standard error of the mean

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Answer:

[tex]S.E=1183.2[/tex]

Step-by-step explanation:

From the question we are told that:

Population mean [tex]\mu=60000[/tex]

Population standard deviation [tex]\sigma= 14,000 miles.[/tex]

Sample size [tex]n=140[/tex]

Generally the equation for Standard error  is mathematically given by

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

[tex]S.E= \frac{14000}{\sqrt 140}[/tex]

[tex]S.E=1183[/tex]

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