Kala 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, Kala 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 67, 71, 69, 67, 74, 73, 70, 76, 74, 74, 69, 75, 67, 73 60 Freeway 75, 69, 69, 78, 75, 75, 71, 79, 81, 76, 77, 70, 74, 74 Send data to calculator Send data to Excel Assume that the two populations of travel times are normally distributed and that the population variances are equal. Can we conclude, at the 0.01 level of significance, that u,, the mean travel time via the 10 freeway, is different from u, the mean travel time via the 60 freeway? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.)
Kala 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, Kala 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 67, 71, 69, 67, 74, 73, 70, 76, 74, 74, 69, 75, 67, 73 60 Freeway 75, 69, 69, 78, 75, 75, 71, 79, 81, 76, 77, 70, 74, 74 Send data to calculator Send data to Excel Assume that the two populations of travel times are normally distributed and that the population variances are equal. Can we conclude, at the 0.01 level of significance, that u,, the mean travel time via the 10 freeway, is different from u, the mean travel time via the 60 freeway? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more 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
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 13CYU
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