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!

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 16HP
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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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