d)Make the decision. What's the null hypothesis? Compute the P -value. Round the answer to four decimal places. P-value=   (e)Summarize the results.   There is ▼(Choose one) that the mean number of hours per week that a family with no children participates in recreational activities and a family with children participates in recreational activities are different.

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

Recreational Time A researcher wishes to see if there is a difference between the mean number of hours per week that a family with no children participates in recreational activities and a family with children participates in recreational activities. She selects two random samples and the data are shown. Use μ1 for the mean number of families with no children. At α=0.10 , is there a difference between the means? Use the critical value method and tables.

 
X
σ
n
No children
8.5
2.9
36
Children
10.5
2.7
36

(a) State the hypothesis and identify the claim with the correct hypothesis.

H0:  ▼(Choose one)

H1:  ▼(Choose one)

This hypothesis test is a ▼(Choose one) test.

 
 
 
(b)Find the critical value(s). Round the answer to 2 decimal places, if necessary. If there is more than one critical value, separate them with commas
 
Critical values:
 
(c)Compute the test value. Round the answer to at least 2
 decimal places, if necessary.
z=
 
d)Make the decision.

What's the null hypothesis?

Compute the P -value. Round the answer to four decimal places.

P-value=
 
(e)Summarize the results.
 
There is ▼(Choose one) that the mean number of hours per week that a family with no children participates in recreational activities and a family with children participates in recreational activities are different.
 
 
 
Expert 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