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 eight trips via the 10 Freeway and eight trips via the 60 Freeway. The following table gives the travel times (in minutes) for the sixteen trips: Travel times in minutes 10 Freeway 78, 74, 77, 74, 71, 71, 68, 77 60 Freeway 75, 73, 77, 75, 74, 76, 76, 74 Send data to calculator v 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 0.05 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.) The null hypothesis: H, :0 The alternative hyp H :0 The type of test statistic: (Choose one) v O=0 OSO O

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question
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 eight trips via the 10 Freeway and eight trips via
the 60 Freeway. The following table gives the travel times (in minutes) for the sixteen trips:
Travel times in minutes
10 Freeway 78, 74, 77, 74, 71, 71, 68, 77
60 Freeway 75, 73, 77, 75, 74, 76, 76, 74
Send data to calculator V
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 0.05 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.)
The null hypothesis:
H :0
The alternative hypothesis:
H
1
O=0
The type of test statistic:
(Choose one) v
O<O O>O
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
two routes are different?
Yes
No
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 eight trips via the 10 Freeway and eight trips via the 60 Freeway. The following table gives the travel times (in minutes) for the sixteen trips: Travel times in minutes 10 Freeway 78, 74, 77, 74, 71, 71, 68, 77 60 Freeway 75, 73, 77, 75, 74, 76, 76, 74 Send data to calculator V 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 0.05 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.) The null hypothesis: H :0 The alternative hypothesis: H 1 O=0 The type of test statistic: (Choose one) v O<O O>O 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 two routes are different? Yes No
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman