Rita 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, Rita 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 69, 66, 69, 76, 71, 67, 76, 71, 74, 70, 70, 76, 75, 68 | 60 Freeway 75, 69, 74, 75, 67, 78, 75, 71, 74, 75, 66, 75, 73, 76 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 0.1 level of significance, that the mean travel times of the two routes are different? 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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Question
(a) State the null hypothesis 
H0
 and the alternative hypothesis 
H1
.
H0:
H1:
(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.)
 
(d) Find the two critical values at the 
0.1
 level of significance. (Round to three or more decimal places.)
and
(e) Can we conclude that the mean travel times of the two routes are different?
 
Yes 
 
No
Rita 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, Rita 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 69, 66, 69, 76, 71, 67, 76, 71, 74, 70, 70, 76, 75, 68
60 Freeway 75, 69, 74, 75, 67, 78, 75, 71, 74, 75, 66, 75, 73, 76
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 0.1 level of
significance, that the mean travel times of the two routes are different?
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.)
Transcribed Image Text:Rita 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, Rita 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 69, 66, 69, 76, 71, 67, 76, 71, 74, 70, 70, 76, 75, 68 60 Freeway 75, 69, 74, 75, 67, 78, 75, 71, 74, 75, 66, 75, 73, 76 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 0.1 level of significance, that the mean travel times of the two routes are different? 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.)
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