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Two popular brands of tires for tractor-trailers are the Puma and the Eternal. Rita 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, Rita tests a random sample of 13 Puma tires and a random sample of 15 Eternal tires. (These samples are chosen independently.) For the Puma tires, the sample mean distance (in thousands of km) until they would need to be replaced is 57.38 with a sample variance of 6.50. For the Eternal tires, the sample mean distance (in km) until they would need to be replaced is 51.73 with a sample variance of 70.58. Assume that the two populations of distances driven are approximately normally distributed. Can Rita conclude, at the 0.10 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.) (a) State the null hypothesis Ho and the alternate hypothesis H₁₁ : Ho 80 (b) Determine the type of test statistic to use. (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) 0 (d) Find the two critical values. (Round to three or more decimal places.) μ ロ=ロ × S OSO □<口 ca р 0<0 ☐ and (e) At the 0.10 level of significance, can Rita 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? Yes No

Two popular brands of tires for tractor-trailers are the Puma and the Eternal. Rita 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, Rita tests a random sample of 13 Puma tires and a random sample of 15 Eternal tires. (These samples are chosen independently.) For the Puma tires, the sample mean distance (in thousands of km) until they would need to be replaced is 57.38 with a sample variance of 6.50. For the Eternal tires, the sample mean distance (in km) until they would need to be replaced is 51.73 with a sample variance of 70.58. Assume that the two populations of distances driven are approximately normally distributed. Can Rita conclude, at the 0.10 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.) (a) State the null hypothesis Ho and the alternate hypothesis H₁₁ : Ho 80 (b) Determine the type of test statistic to use. (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) 0 (d) Find the two critical values. (Round to three or more decimal places.) μ ロ=ロ × S OSO □<口 ca р 0<0 ☐ and (e) At the 0.10 level of significance, can Rita 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? Yes No

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
Section10.5: Comparing Sets Of Data
Problem 13PPS
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Two popular brands of tires for tractor-trailers are the Puma and the Eternal. Rita 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, Rita tests a random sample of 13 Puma tires and a random sample of 15 Eternal tires. (These samples are chosen independently.) For the Puma tires, the sample mean distance (in thousands of km) until they would need to be replaced is 57.38 with a sample variance of 6.50. For the Eternal tires, the sample mean distance (in km) until they would need to be replaced is 51.73 with a sample variance of 70.58. Assume that the two populations of distances driven are approximately normally distributed. Can Rita conclude, at the 0.10 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.) (a) State the null hypothesis Ho and the alternate hypothesis H₁₁ : Ho 80 (b) Determine the type of test statistic to use. (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) 0 (d) Find the two critical values. (Round to three or more decimal places.) μ ロ=ロ × S OSO □<口 ca р 0<0 ☐ and (e) At the 0.10 level of significance, can Rita 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? Yes No
Transcribed Image Text:Two popular brands of tires for tractor-trailers are the Puma and the Eternal. Rita 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, Rita tests a random sample of 13 Puma tires and a random sample of 15 Eternal tires. (These samples are chosen independently.) For the Puma tires, the sample mean distance (in thousands of km) until they would need to be replaced is 57.38 with a sample variance of 6.50. For the Eternal tires, the sample mean distance (in km) until they would need to be replaced is 51.73 with a sample variance of 70.58. Assume that the two populations of distances driven are approximately normally distributed. Can Rita conclude, at the 0.10 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.) (a) State the null hypothesis Ho and the alternate hypothesis H₁₁ : Ho 80 (b) Determine the type of test statistic to use. (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) 0 (d) Find the two critical values. (Round to three or more decimal places.) μ ロ=ロ × S OSO □<口 ca р 0<0 ☐ and (e) At the 0.10 level of significance, can Rita 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? Yes No
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