Question
In: Statistics and Probability
A researcher randomly selects 6 fathers who have adult sons and records the fathers' and sons'...
A researcher randomly selects 6 fathers who have adult sons and records the fathers' and sons' heights to obtain the data shown in the table below. Test the claim that sons are taller than their fathers at the
α=0.10
level of significance. The normal probability plot and boxplot indicate that the differences are approximately normally distributed with no outliers so the use of a paired t-test is reasonable.
|
Observation |
1 |
2 |
3 |
4 |
5 |
6 |
|
|---|---|---|---|---|---|---|---|
|
Height of father (in inches) |
67.7 |
73.7 |
67.1 |
67.3 |
69.5 |
73.5 |
|
|
Height of son (in inches) |
69.9 |
75.0 |
71.0 |
71.6 |
71.1 |
72.3 |
What are the hypotheses for the t-test? Note that population 1 is fathers and population 2 is sons.
Find the test statistic.
Find the critical value(s).
What is the correct conclusion for the hypothesis test?
Solutions
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A researcher randomly selects 6 fathers who have adult sons and records the fathers' and sons'...
A researcher randomly selects 6 fathers who have adult sons and
records the fathers' and sons' heights to obtain the data shown
in the table below. Test the claim that sons are taller than their
fathers at the alpha equals 0.10α=0.10 level of significance. The
normal probability plot and boxplot indicate that the differences
are approximately normally distributed with no outliers so the use
of a paired t-test is reasonable
67.5
72.9
68.4
71.2
67.7
66.8
71.1
71.3
67.6
74.7...
To test the belief that sons are taller than their fathers, a student randomly selects 6...
To test the belief that sons are taller than their fathers, a
student randomly selects 6 fathers who have adult male children.
She records the height of both the father and son in inches and
obtains the accompanying data. Are sons taller than their fathers?
Use the alpha equals 0.1 level of significance. Note that a normal
probability plot and boxplot of the data indicate that the
differences are approximately normally distributed with no
outliers.
Observation
1
2
3
4...
To test the belief that sons are taller than their fathers, a student randomly selects 6...
To test the belief that sons are taller than their fathers, a
student randomly selects 6 fathers who have adult male children.
She records the height of both the father and son in inches and
obtains the accompanying data. Are sons taller than their fathers?
Use the alpha equals 0.1 level of significance. Note that a normal
probability plot and boxplot of the data indicate that the
differences are approximately normally distributed with no
outliers.
Observation
1
2
3
4...
To test the belief that sons are taller than their fathers, a student randomly selects 6...
To test the belief that sons are taller than their fathers, a
student randomly selects 6 fathers who have adult male children.
She records the height of both the father and son in inches and
obtains the accompanying data. Are sons taller than their fathers?
Use the α=0.1 level of significance. Note that a normal probability
plot and boxplot of the data indicate that the differences are
approximately normally distributed with no outliers.
Observation
1
2
3
4
5
6...
To test the belief that sons are taller than their fathers, a student randomly selects 13...
To test the belief that sons are taller than their fathers, a
student randomly selects 13 fathers who have adult male children.
She records the height of both the father and son in inches and
obtains the following data. Note: A normal probability plot and
boxplot of the data indicate that the differences are approximately
normally distributed with no outliers
Height of
Father,71.9,71.8,68.5,73.2,70.9,69.8,69.3,72.3,71.9,70.2,69.8,69.8,69.1
Xi Height of Son, Yi 76.8, 75.2, 71.0, 75.0, 72.0, 70.3, 69.4,
71.7, 70.6, 68.4, 67.3, 66.3,...
To test the belief that sons are taller than their fathers, a student randomly selects 13...
To test the belief that sons are taller than their fathers, a
student randomly selects 13 fathers who have adult male children.
She records the height of both the father and son in inches and
obtains the following data. Are sons taller than their fathers?
Use the
alphaαequals=0.10
level of significance. Note: A normal probability plot and
boxplot of the data indicate that the differences are approximately
normally distributed with no outliers.
LOADING...
Click the icon to view the table...
To test the belief that sons are taller than their fathers, a student randomly selects 13...
To test the belief that sons are taller than their fathers, a
student randomly selects 13 fathers who have adult male children.
She records the heights of both father and son in inches and
obtains the following data. A normal probability plot and boxplot
of the data indicate that the differences are approximately
normally distributed with no outliers. Test the claim at the α =
0.05 level of significance. Need to explain and show all work.
fathers height: 70.3 67.1...
To test the belief that sons are taller than their fathers, a student randomly selects 13...
To test the belief that sons are taller than their fathers, a
student randomly selects 13 fathers who have adult male children.
She records the height of both the father and son in inches and
obtains the following data. Are sons taller than their fathers?
Use the alpha=0.025 level of significance. Note: A normal
probability plot and boxplot of the data indicate that the
differences are approximately normally distributed with no
outliers.
Height of Father Height of Son
71.4 76.3...
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