Listed in the accompanying table are heights​ (in.) of mothers and their first daughters. The data pairs are from a journal kept by Francis Galton. Use the listed paired sample​ data, and assume that the samples are simple random samples and that the differences have a distribution that is approximately normal. Use a 0.05 significance level to test the claim that there is no difference in heights between mothers and their first daughters.   ...   Question content area top right Part 1 Mother 62.0 65.0 64.7 65.5 65.0 67.0 66.0 66.5 63.0 58.5   Daughter 68.0 69.0 66.5 63.0 68.0 62.0 66.5 66.7 63.5 66.5

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
Listed in the accompanying table are heights​ (in.) of mothers and their first daughters. The data pairs are from a journal kept by Francis Galton. Use the listed paired sample​ data, and assume that the samples are simple random samples and that the differences have a distribution that is approximately normal. Use a
0.05
significance level to test the claim that there is no difference in heights between mothers and their first daughters.
 
...
 

Question content area top right

Part 1
Mother
62.0
65.0
64.7
65.5
65.0
67.0
66.0
66.5
63.0
58.5
 
Daughter
68.0
69.0
66.5
63.0
68.0
62.0
66.5
66.7
63.5
66.5
 
 
 

Question content area bottom

Part 1
In this​ example,
μd
is the mean value of the differences d for the population of all pairs of​ data, where each individual difference d is defined as the​ daughter's height minus the​ mother's height. What are the null and alternative hypotheses for the hypothesis​ test?
 
H0​:
μd
 
greater than>
not equals≠
less than<
equals=
enter your response here
in.
H1​:
μd
 
less than<
equals=
not equals≠
greater than>
enter your response here
in.
​(Type integers or decimals. Do not​ round.)
Part 2
Identify the test statistic.
 
t=enter your response here
​(Round to two decimal places as​ needed.)
Part 3
Identify the​ P-value.
 
​P-value=enter your response here
​(Round to three decimal places as​ needed.)
Part 4
What is the conclusion based on the hypothesis​ test?
 
Since the​ P-value is
 
less than
greater than
the significance​ level,
 
do not reject
reject
the null hypothesis. There
 
is
is not
sufficient evidence to warrant rejection of the claim that there is no difference in heights
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Similar 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