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. At the 5% significance level, does the evidence support the Boston public school district's claim? No, since the p-value is less than alpha O No, since the value of the test statistic is greater than the critical value Yes, since the p-value is less than alpha Yes, since the value of the test statistic is greater than the critical value

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
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.
At the 5% significance level, does the evidence support the
Boston public school district's claim?
No, since the p-value is less than alpha
O No, since the value of the test statistic is greater than the
critical value
Yes, since the p-value is less than alpha
Yes, since the value of the test statistic is greater than
the critical value
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. At the 5% significance level, does the evidence support the Boston public school district's claim? No, since the p-value is less than alpha O No, since the value of the test statistic is greater than the critical value Yes, since the p-value is less than alpha Yes, since the value of the test statistic is greater than the critical value
Expert Solution
Step 1

Given that 

 

Hypothesized Population Mean (\mu) = 12
Population Standard Deviation (\sigma) = 12
Sample Size (n) = 36
Sample Mean (\bar X) = 8
Significance Level (\alpha) 0.05
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
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