A statistician takes the same bus to work every day. He arrives at the bus stop at 8AM every morning, however, the bus is not always on time. For fun, he recorded the minutes he had to wait before the bus arrived for 60 days. He wants to see if waiting time of the two buses is distributed about the same way. That is, the hypothesis under consideration is H0: pi1 = pi2, i = 1, 2, 3, 4, 5, 6. Write down the hypothesis test. Use α = 0.05 and a chi-square statistic to answer this question

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
Question
A statistician takes the same bus to work every day. He arrives at the bus stop at 8AM every morning, however, the bus is not always on time. For fun, he recorded the minutes he had to wait before the bus arrived for 60 days. He wants to see if waiting time of the two buses is distributed about the same way. That is, the hypothesis under consideration is H0: pi1 = pi2, i = 1, 2, 3, 4, 5, 6. Write down the hypothesis test. Use α = 0.05 and a chi-square statistic to answer this question
02466174611236427442
254441243 22 503110052
7133323 141 353 5133032
He first set the six sets of outcome based on waiting time as
A1= {0, 1}, A2 = {2}, A3 ={3}, A4 = {4}, A5={5, 6}, A6
= {7, 8,....), and counted the frequencies of wait time for
each set. One year later, he moves to a new apartment and
takes another bus to work. He recorded the time for waiting
the new bus for 40 days, calculated the frequencies as well.
Outcome sets
A1 A2 A3 A4 A5 A6 Total
Frequency (old bus) 15 11 12 10 9 3 60
Frequency (new bus) 10 8 8 6 6 2 40
Transcribed Image Text:02466174611236427442 254441243 22 503110052 7133323 141 353 5133032 He first set the six sets of outcome based on waiting time as A1= {0, 1}, A2 = {2}, A3 ={3}, A4 = {4}, A5={5, 6}, A6 = {7, 8,....), and counted the frequencies of wait time for each set. One year later, he moves to a new apartment and takes another bus to work. He recorded the time for waiting the new bus for 40 days, calculated the frequencies as well. Outcome sets A1 A2 A3 A4 A5 A6 Total Frequency (old bus) 15 11 12 10 9 3 60 Frequency (new bus) 10 8 8 6 6 2 40
Expert Solution
steps

Step by step

Solved in 3 steps with 5 images

Blurred answer
Similar 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