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
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
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
enter your response here
in.▼
greater than>
not equals≠
less than<
equals=
H1:
μd
enter your response here
in.▼
less than<
equals=
not equals≠
greater than>
(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
the significance level,
the null hypothesis. There
sufficient evidence to warrant rejection of the claim that there is no difference in heights
▼
less than
greater than
▼
do not reject
reject
▼
is
is not
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