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 likelihood of finding that the sample mean is between 59,050 and 60,950?

Answer: 632.46Step-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=40Then standard error of the mean will be :-[tex]S.E.=\dfrac{4000}{\sqrt{40}}=632.455532034\approx632.46[/tex]