Answered: 5. Suppose a tire company developed two…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 13PPS

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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 3,700 miles 3,300 miles Sample size 30 30 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. Ho: o3 (1) H,: 0 (2) 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.) (3) the null hypothesis. There is (4) evidence that the population variance for Brand 1 is (5) 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 (6) a = 0.10, (7) the null hypothesis. There is (8) evidence to conclude that the population variance for Brand 1 (9) Brand 2. O Reject O Do not reject O sufficient O insufficient (7) O do not reject O reject (1) O (5) O different from (6) O greater than O less than (8) O insufficient O sufficient (2) (3) (4) (9) O differs from equal to O is greater than O greater than less than less than equals 000

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