A research study conducted in 2001 concluded that high school students in the state of Virginia averaged 10.4 hours of exercise a week.  Last year, a study of 250 randomly selected students throughout the state found an average of 10.18 hours with a standard deviation of 1.83 hours. Does this provide evidence at a .05 significance level that the average number of hours spent each week exercising by Virginia high school students has dropped? Interpret the p-value in this question. How could a different significance level change your decision in part (a)? If only the sample size changed, would it need to be higher or lower to change your decision in part (a)?

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
100%

A research study conducted in 2001 concluded that high school students in the state of Virginia averaged 10.4 hours of exercise a week.  Last year, a study of 250 randomly selected students throughout the state found an average of 10.18 hours with a standard deviation of 1.83 hours.

  1. Does this provide evidence at a .05 significance level that the average number of hours spent each week exercising by Virginia high school students has dropped?
  2. Interpret the p-value in this question.
  3. How could a different significance level change your decision in part (a)?
  4. If only the sample size changed, would it need to be higher or lower to change your decision in part (a)?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 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.
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