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Amy has two ways to travel from her home in Norco to her office in Los Angeles. One is to go via the 10 Freeway, and the other is to go via 60 Freeway. In order to determine which way she should travel on a daily basis, Amy has recorded the travel times for samples of fourteen trips via the 10 Freeway and fourteen trips via the 60 Freeway. The following table gives the travel times (in minutes) for the twenty-eight trips: Travel times in minutes 10 Freeway 75, 67, 72, 77, 73, 78, 73, 68, 76, 77, 69, 70, 75, 70 60 Freeway 70, 72, 72, 69, 68, 74, 73, 70, 79, 74, 71, 75, 76, 74 | Send data to calculator v Assume that the two populations of travel times are normally distributed and that the population variances are equal. Can we conclude, at the 0.1 level of significance, that the mean travel times of the two routes are different? Perform a two-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.)

Amy has two ways to travel from her home in Norco to her office in Los Angeles. One is to go via the 10 Freeway, and the other is to go via 60 Freeway. In order to determine which way she should travel on a daily basis, Amy has recorded the travel times for samples of fourteen trips via the 10 Freeway and fourteen trips via the 60 Freeway. The following table gives the travel times (in minutes) for the twenty-eight trips: Travel times in minutes 10 Freeway 75, 67, 72, 77, 73, 78, 73, 68, 76, 77, 69, 70, 75, 70 60 Freeway 70, 72, 72, 69, 68, 74, 73, 70, 79, 74, 71, 75, 76, 74 | Send data to calculator v Assume that the two populations of travel times are normally distributed and that the population variances are equal. Can we conclude, at the 0.1 level of significance, that the mean travel times of the two routes are different? Perform a two-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. (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
Section10.4: Distributions Of Data
Problem 19PFA
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What is the test statistic?

What is the p-value?

Can we conclude that the mean travel times of the two routes are different?

Yes or No?

The null hypothesis: H, :0 The alternative hypothesis: H :0 The type of test statistic: (Choose one) ♥ The value of the test statistic: (Round to at least three decimal places.) The p-value: (Round to at least three decimal places.) Can we conclude that the mean travel times of the Yes No two routes are different?
Transcribed Image Text:The null hypothesis: H, :0 The alternative hypothesis: H :0 The type of test statistic: (Choose one) ♥ The value of the test statistic: (Round to at least three decimal places.) The p-value: (Round to at least three decimal places.) Can we conclude that the mean travel times of the Yes No two routes are different?
Amy has two ways to travel from her home in Norco to her office in Los Angeles. One is to go via the 10 Freeway, and the other is to go via 60 Freeway. In order to determine which way she should travel on a daily basis, Amy has recorded the travel times for samples of fourteen trips via the 10 Freeway and fourteen trips via the 60 Freeway. The following table gives the travel times (in minutes) for the twenty-eight trips: Travel times in minutes 10 Freeway 75, 67, 72, 77, 73, 78, 73, 68, 76, 77, 69, 70, 75, 70 60 Freeway 70, 72, 72, 69, 68, 74, 73, 70, 79, 74, 71, 75, 76, 74 Send data to calculator v Assume that the two populations of travel times are normally distributed and that the population variances are equal. Can we conclude, at the 0.1 level of significance, that the mean travel times of the two routes are different? Perform a two-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.)
Transcribed Image Text:Amy has two ways to travel from her home in Norco to her office in Los Angeles. One is to go via the 10 Freeway, and the other is to go via 60 Freeway. In order to determine which way she should travel on a daily basis, Amy has recorded the travel times for samples of fourteen trips via the 10 Freeway and fourteen trips via the 60 Freeway. The following table gives the travel times (in minutes) for the twenty-eight trips: Travel times in minutes 10 Freeway 75, 67, 72, 77, 73, 78, 73, 68, 76, 77, 69, 70, 75, 70 60 Freeway 70, 72, 72, 69, 68, 74, 73, 70, 79, 74, 71, 75, 76, 74 Send data to calculator v Assume that the two populations of travel times are normally distributed and that the population variances are equal. Can we conclude, at the 0.1 level of significance, that the mean travel times of the two routes are different? Perform a two-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.)
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