The CDC did a new study that found Americans get an average of 45 hours of sleep each week. The Sleep Research Society thinks the true average is less than 45 hours per week. They randomly survey 70 Americans and find the mean hours of sleep 42.5 with a standard deviation of 12 hours. A. State the null and alternative hypotheses. B. Calculate the Mean and Standard Error for this hypothesis test.

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
16. The CDC did a new study that found Americans get an average of 45 hours of sleep each week.
The Sleep Research Society thinks the true average is less than 45 hours per week. They
randomly survey 70 Americans and find the mean hours of sleep 42.5 with a standard deviation of
12 hours.
A. State the null and alternative hypotheses.
B. Calculate the Mean and Standard Error for this hypothesis test.
C. Find the standard score (z) and p-value for test.
D. Do you Reject or Do Not Reject the null hypothesis based on 0.05 significance level?
E. What is your conclusion in context to this test?
F. What would a Type II Eror e in contet to tis prolem?
a. The conchusion was that the mean is les than 45, when in fact it is equal to 45.
b.The conclusion was that the mean is equal to 45, when in fact i is ls than 45.
c.The conclusion was that the mean is not 45, when in fact it is qual to 45.
d. The conclusion was that the mean is equal to 45, when in fact itis equal to 45.
Transcribed Image Text:16. The CDC did a new study that found Americans get an average of 45 hours of sleep each week. The Sleep Research Society thinks the true average is less than 45 hours per week. They randomly survey 70 Americans and find the mean hours of sleep 42.5 with a standard deviation of 12 hours. A. State the null and alternative hypotheses. B. Calculate the Mean and Standard Error for this hypothesis test. C. Find the standard score (z) and p-value for test. D. Do you Reject or Do Not Reject the null hypothesis based on 0.05 significance level? E. What is your conclusion in context to this test? F. What would a Type II Eror e in contet to tis prolem? a. The conchusion was that the mean is les than 45, when in fact it is equal to 45. b.The conclusion was that the mean is equal to 45, when in fact i is ls than 45. c.The conclusion was that the mean is not 45, when in fact it is qual to 45. d. The conclusion was that the mean is equal to 45, when in fact itis equal to 45.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

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