average of 8 minutes late. As a result, the Boston public school district claimed that the schedule adjustment was an improvement-students were not as late. Assume a population standard deviation for bus arrival time of 12 minutes. Develop the null and alternative hypotheses to determine whether the schedule adjustment reduced the average lateness time of 12 minutes.

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Author:Amos Gilat
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Chapter1: Starting With Matlab
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The Boston public school district has had difficulty maintaining
on-time bus service for its students ("A Year Later, School
Buses Still Late," Boston Globe, October 5, 2011). Suppose
the district develops a new bus schedule to help combat
chronic lateness on a particularly woeful route. Historically, the
bus service on the route has been, on average, 12 minutes
late. After the schedule adjustment, the first 36 runs were an
average of 8 minutes late. As a result, the Boston public
school district claimed that the schedule adjustment was an
improvement-students were not as late. Assume a population
standard deviation for bus arrival time of 12 minutes.
Develop the null and alternative hypotheses to determine
whether the schedule adjustment reduced the average
lateness time of 12 minutes.
H, :µ<12 and H:µ212
H, :µ=8 and Hu#8
A
H, :µ212 and H:µ<12
H:X 28 and H:
X <8
Transcribed Image Text:The Boston public school district has had difficulty maintaining on-time bus service for its students ("A Year Later, School Buses Still Late," Boston Globe, October 5, 2011). Suppose the district develops a new bus schedule to help combat chronic lateness on a particularly woeful route. Historically, the bus service on the route has been, on average, 12 minutes late. After the schedule adjustment, the first 36 runs were an average of 8 minutes late. As a result, the Boston public school district claimed that the schedule adjustment was an improvement-students were not as late. Assume a population standard deviation for bus arrival time of 12 minutes. Develop the null and alternative hypotheses to determine whether the schedule adjustment reduced the average lateness time of 12 minutes. H, :µ<12 and H:µ212 H, :µ=8 and Hu#8 A H, :µ212 and H:µ<12 H:X 28 and H: X <8
Expert Solution
Step 1

Given :

Xbar=8

Mean lateness(mu) =12

Standard deviation =12

n=36

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