Suppose a tire company developed two new brands of tires and would like to compare the variability of the tire life of the two. Both brands were driven under normal conditions, and random samples of the tires were collected. The table below shows the samp sizes and the standard deviations, in miles, calculated for each sample. Complete parts a and b Brand 1 Brand 2 Sample standard deviation 3,400 miles 2,600 miles Sample size 20 20 a. Using a= 0.10, determine if there is a difference in the variability of the two tire brands. Identify the null and alternative hypotheses. Họ o = o Calculate the appropriate test statistic. The test statistic is (Round to two decimal places as needed.) Determine the appropriate critical value(s). The critical value(s) is(are) _ (Round to three decimal places as needed. Use a comma to separate answers as needed.) (1). - the null hypothesis. There is (2). - evidence that the population variance for Brand 1 is (3). the population variance for Brand 2. b. Use technology to find the p-value and interpret the result. The p-value is (Round to three decimal places as needed.) Since the p-value is (4) . a= 0.10, (5). the null hypothesis. There is (6). evidence to conclude that the population variance for Brand 1 (7). Brand 2. (1) O Do not reject O Reject (4) O less than O greater than O reject O do not reject (2) O insufficient (3) O greater than (5) (6) O insufficient (7) O is greater than O sufficient O equal to O sufficient O differs from O equals O is less than different from O less than

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Transcribed Image Text:5. Suppose a tire company developed two new brands of tires and would like to compare the variability of the tire life of the two. Both brands were driven under normal conditions, and random samples of the tires were collected. The table below shows the sample sizes and the standard deviations, in miles, calculated for each sample. Complete parts a and b. Brand 1 Brand 2 Sample standard deviation Sample size 3,400 miles 2,600 miles 20 20 a. Using a = 0.10, determine if there is a difference in the variability of the two tire brands. Identify the null and alternative hypotheses. Họ: o? H,: o + o Calculate the appropriate test statistic. The test statistic is (Round to two decimal places as needed.) Determine the appropriate critical value(s). The critical value(s) is(are) (Round to three decimal places as needed. Use a comma to separate answers as needed.) (1) the null hypothesis. There is (2) evidence that the population variance for Brand 1 is (3) the population variance for Brand 2 b. Use technology to find the p-value and interpret the result. The p-value is (Round to three decimal places as needed.) Since the p-value is (4) a = 0.10, (5) the null hypothesis. There is (6) evidence to conclude that the population variance for Brand 1 (7) Brand 2. (3) O greater than O equal to O different from O less than (1) O Do not reject O Reject (2) O insufficient O sufficient O reject do not reject (4) (5) (6) O insufficient (7) O is greater than O greater than sufficient differs from equals less than O is less than

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