A particular brand of tires claims that its deluxe tire averages at least 50,000 miles before it needs to be replaced. From past studies of this tire, the standard deviation is known to be 8,000. A survey of owners of that tire design is conducted. Of the 30 tires surveyed, the mean lifespan was 45,900 miles with a standard deviation of 9,800 miles. Using alpha = 0.05, is the data highly consistent with the claim?   A-State the distribution to use for the test. (Round your answers to two decimal places.) B-What is the test statistic? (If using the z distribution round your answer

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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A particular brand of tires claims that its deluxe tire averages at least 50,000 miles before it needs to be replaced. From past studies of this tire, the standard deviation is known to be 8,000. A survey of owners of that tire design is conducted. Of the 30 tires surveyed, the mean lifespan was 45,900 miles with a standard deviation of 9,800 miles. Using alpha = 0.05, is the data highly consistent with the claim?

 

A-State the distribution to use for the test. (Round your answers to two decimal places.)

B-What is the test statistic? (If using the z distribution round your answers to two decimal places, and if using the t distribution round your answers to three decimal places.)

C-What is the p-value? (Round your answer to four decimal places.)

D-Indicate the correct decision ("reject" or "do not reject" the null hypothesis), the reason for it, and write an appropriate conclusion.

(i) Alpha (Enter an exact number as an integer, fraction, or decimal.)
 
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