A consumer products testing group is evaluating two competing brands of tires, Brand 1 and Brand 2. To do this, the and installs both brands on each car. After all of the cars are driven over the standard test course for 20,000 miles, the amount of tread wear (in inches on each brand of tire on each car is recorded. The data and the differences (Brand 1 minus Brand 2) are shown in the table below. Car Brand 1 Brand 2 Difference (Brand 1- Brand 2) Send data to calculator 1 Lower limit: Upper limit: 2 0.25 0.28 0.97 0.59 3 0.40 X 0.35 -0.72-0.31 0.05 4 0.24 5 0.33 6 S 0.26 0.52 0.08 0.17 7 0.27 0.48 8 0.35 0.12 9 0.22 10 11 0.86 1.19 0.28 0.27 0.35 12 0.28 0.82 13 14 15 0.35 0.25 0.03 1.27 0.26 Assume that the population of these differences in tread wear (Brand 1 minus Brand 2) is approximately normally distributed. Construct a 99% confidence interval for μ, the population mean difference in tread wear between the two brands. Then find the lower and upper limit of the 99% confidence interval. Carry your intermediate computations to three or more decimal places. Round your answers to two or more decimal places. (If necessary, consult a list of formulas.) 1.08 0.07 -0.19 0.18 -0.21 0.23 -0.64 -0.91-0.01 -0.47 0.32 -1.02 -0.82

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.1: Measures Of Center

Problem 27PFA

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Transcribed Image Text:A consumer products testing group is evaluating two competing brands of tires, Brand 1 and Brand 2. To do this, the group chooses 15 cars at random and installs both brands on each car. After all of the cars are driven over the standard test course for 20,000 miles, the amount of tread wear (in inches) on each brand of tire on each car is recorded. The data and the differences (Brand 1 minus Brand 2) are shown in the table below. Car Brand 1 Brand 2 Difference (Brand 1- Brand 2) Send data to calculator V 1 Lower limit: Upper limit: 0.25 0.97 2 0.28 0.40 0.59 3 4 X 0.24 5 0.33 6 S 0.26 0.17 0.52 0.08 0.35 7 0.27 0.48 8 9 0.35 0.22 0.12 0.86 10 0.28 1.19 11 12 13 0.35 0.27 0.28 0.35 0.03 0.82 14 15 0.25 0.26 -0.72 -0.31 0.05 0.07 -0.19 0.18-0.21 0.23 -0.64 -0.91 -0.01 -0.47 0.32 -1.02 -0.82 Assume that the population of these differences in tread wear (Brand 1 minus Brand 2) is approximately normally distributed. Construct a 99% confidence interval for μ, the population mean difference in tread wear between the two brands. Then find the lower and upper of the 99% confidence interval. Carry your intermediate computations to three or more decimal places. Round your answers to two or more decimal places. (If necessary, consult a list of formulas.) 1.27 1.08 limits

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