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Two popular brands of tires for tractor-trailers are the Puma and the Eternal. Isabel is a buyer for a major shipping company and wants to determine if there is any difference between the two brands of tire in the mean distance (in thousands of km) driven on them before they need to be replaced. In the company's testing lab, Isabel tests a random sample of 14 Puma tires and a random sample of 15 Eternal tires. (These samples are chosen independently.) For each tire she logs the distance driven (in thousands of km) before the tire would need to be replaced. These data are shown in the table. Distances (in thousands of km) Puma 56.5, 57.0, 49.1, 60.5, 54.3, 61.0, 51.4, 51.3, 53.8, 53.0, 47.7, 47.6, 57.8, 57.6 Eternal 57.0, 55.5, 51.8, 58.7, 60.5, 53.4, 44.9, 34.1, 57.8, 38.8, 52.0, 49.9, 31.5, 56.8, 54.0 Send data to calculator Send data to Excel Assume that the two populations of distances driven are approximately normally distributed. Can Isabel conclude, at the 0.05 level of significance, that there is a difference between the population mean of the distances (in thousands of km) driven on Puma tires before they need to be replaced and the population mean of the distances (in thousands of km) driven on Eternal tires before they need to be replaced? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.)

Two popular brands of tires for tractor-trailers are the Puma and the Eternal. Isabel is a buyer for a major shipping company and wants to determine if there is any difference between the two brands of tire in the mean distance (in thousands of km) driven on them before they need to be replaced. In the company's testing lab, Isabel tests a random sample of 14 Puma tires and a random sample of 15 Eternal tires. (These samples are chosen independently.) For each tire she logs the distance driven (in thousands of km) before the tire would need to be replaced. These data are shown in the table. Distances (in thousands of km) Puma 56.5, 57.0, 49.1, 60.5, 54.3, 61.0, 51.4, 51.3, 53.8, 53.0, 47.7, 47.6, 57.8, 57.6 Eternal 57.0, 55.5, 51.8, 58.7, 60.5, 53.4, 44.9, 34.1, 57.8, 38.8, 52.0, 49.9, 31.5, 56.8, 54.0 Send data to calculator Send data to Excel Assume that the two populations of distances driven are approximately normally distributed. Can Isabel conclude, at the 0.05 level of significance, that there is a difference between the population mean of the distances (in thousands of km) driven on Puma tires before they need to be replaced and the population mean of the distances (in thousands of km) driven on Eternal tires before they need to be replaced? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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(a) State the null hypothesis H, and the alternate hypothesis H,. Ho :0 H, :0 (b) Determine the type of test statistic to use. (Choose one) v (c) Find the value of the test statistic. (Round to three or more decimal places.) |(d) Find the two critical values. (Round to three or more decimal places.) and O (e) At the 0.05 level of significance, can Isabel conclude that there is a difference between the mean distance (in thousands of km) driven on Puma tires before they need to be replaced and the mean distance (in thousands of km) driven on Eternal tires before they need to be replaced? O Yes O No
Transcribed Image Text:(a) State the null hypothesis H, and the alternate hypothesis H,. Ho :0 H, :0 (b) Determine the type of test statistic to use. (Choose one) v (c) Find the value of the test statistic. (Round to three or more decimal places.) |(d) Find the two critical values. (Round to three or more decimal places.) and O (e) At the 0.05 level of significance, can Isabel conclude that there is a difference between the mean distance (in thousands of km) driven on Puma tires before they need to be replaced and the mean distance (in thousands of km) driven on Eternal tires before they need to be replaced? O Yes O No
Two popular brands of tires for tractor-trailers are the Puma and the Eternal. Isabel is a buyer for a major shipping company and wants to determine if there is any difference between the two brands of tire in the mean distance (in thousands of km) driven on them before they need to be replaced. In the company's testing lab, Isabel tests a random sample of 14 Puma tires and a random sample of 15 Eternal tires. (These samples are chosen independently.) For each tire she logs the distance driven (in thousands of km) before the tire would need to be replaced. These data are shown in the table. Distances (in thousands of km) Puma 56.5, 57.0, 49.1, 60.5, 54.3, 61.0, 51.4, 51.3, 53.8, 53.0, 47.7, 47.6, 57.8, 57.6 Eternal 57.0, 55.5, 51.8, 58.7, 60.5, 53.4, 44.9, 34.1, 57.8, 38.8, 52.0, 49.9, 31.5, 56.8, 54.0 Send data to calculator Send data to Excel Assume that the two populations of distances driven are approximately normally distributed. Can Isabel conclude, at the 0.05 level of significance, that there is a difference between the population mean of the distances (in thousands of km) driven on Puma tires before they need to be replaced and the population mean of the distances (in thousands of km) driven on Eternal tires before they need to be replaced? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.)
Transcribed Image Text:Two popular brands of tires for tractor-trailers are the Puma and the Eternal. Isabel is a buyer for a major shipping company and wants to determine if there is any difference between the two brands of tire in the mean distance (in thousands of km) driven on them before they need to be replaced. In the company's testing lab, Isabel tests a random sample of 14 Puma tires and a random sample of 15 Eternal tires. (These samples are chosen independently.) For each tire she logs the distance driven (in thousands of km) before the tire would need to be replaced. These data are shown in the table. Distances (in thousands of km) Puma 56.5, 57.0, 49.1, 60.5, 54.3, 61.0, 51.4, 51.3, 53.8, 53.0, 47.7, 47.6, 57.8, 57.6 Eternal 57.0, 55.5, 51.8, 58.7, 60.5, 53.4, 44.9, 34.1, 57.8, 38.8, 52.0, 49.9, 31.5, 56.8, 54.0 Send data to calculator Send data to Excel Assume that the two populations of distances driven are approximately normally distributed. Can Isabel conclude, at the 0.05 level of significance, that there is a difference between the population mean of the distances (in thousands of km) driven on Puma tires before they need to be replaced and the population mean of the distances (in thousands of km) driven on Eternal tires before they need to be replaced? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.)
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