A car dealer recommends that transmissions be serviced at 30,000 miles. To see whether her customers are adhering to this recommen- dation, the dealer selects a sample of 40 customers and finds that the average mileage of the automobiles serviced is 30,456. The standard deviation of the population is 1684 miles. By finding the P-value, determine whether the owners are having their transmissions serviced at 30,000 miles. Use a ? 0.10. Do you think the a value of 0.10 is an appropriate significance level? Please show how to solve using the necessary formulas. Thanks!

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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A car dealer recommends that transmissions be serviced at 30,000 miles. To see whether her customers are adhering to this recommen- dation, the dealer selects a sample of 40 customers and finds that the average mileage of the automobiles serviced is 30,456. The standard deviation of the population is 1684 miles. By finding the P-value, determine whether the owners are having their transmissions serviced at 30,000 miles. Use a ? 0.10. Do you think the a value of 0.10 is an appropriate significance level?

Please show how to solve using the necessary formulas. Thanks! 

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