Suppose that the average trip time from Oak Park to UIC on the Blue line is 25 minutes and that the standard deviation of the population is 16 minutes (sigma=16). We are interested to know whether the average trip time on Thursdays is shorter. We study a sample of 49 trips on Thursdays and the average is 24.25 minutes. Execute a hypothesis test at alpha=10% that the average trip time on Thursdays is shorter (that is, that it requires a smaller number of minutes). State Ho, Ha, calculate the appropriate statistic, p-value, state whether you reject Ho vs. not and state your conclusion in plain English. What is the largest number of minutes that will allow you to reject Ho? What is the probability that you will reject Ho if mu is actually 24 minutes? Fill in the probabilities in the table below. Also indicate alpha, beta and power. What test concludes Ho is true in population Ho not true in population Reject Ho Not reject Ho

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
Suppose that the average trip time from Oak Park to UIC on the Blue line is 25
minutes and that the standard deviation of the population is 16 minutes (sigma=16). We are interested
to know whether the average trip time on Thursdays is shorter. We study a sample of 49 trips on
Thursdays and the average is 24.25 minutes. Execute a hypothesis test at alpha=10% that the average
trip time on Thursdays is shorter (that is, that it requires a smaller number of minutes). State Ho, Ha,
calculate the appropriate statistic, p-value, state whether you reject Ho vs. not and state your
conclusion in plain English.
What is the largest number of minutes that will allow you to reject Ho?
What is the probability that you will reject Ho if mu is actually 24 minutes?
Fill in the probabilities in the table below. Also indicate alpha, beta and power.
What test concludes
Ho is true in population
Ho not true in population
Reject Ho
Not reject Ho
Transcribed Image Text:Suppose that the average trip time from Oak Park to UIC on the Blue line is 25 minutes and that the standard deviation of the population is 16 minutes (sigma=16). We are interested to know whether the average trip time on Thursdays is shorter. We study a sample of 49 trips on Thursdays and the average is 24.25 minutes. Execute a hypothesis test at alpha=10% that the average trip time on Thursdays is shorter (that is, that it requires a smaller number of minutes). State Ho, Ha, calculate the appropriate statistic, p-value, state whether you reject Ho vs. not and state your conclusion in plain English. What is the largest number of minutes that will allow you to reject Ho? What is the probability that you will reject Ho if mu is actually 24 minutes? Fill in the probabilities in the table below. Also indicate alpha, beta and power. What test concludes Ho is true in population Ho not true in population Reject Ho Not reject Ho
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 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