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
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
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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

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
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