What are the hypotheses for the t-test? Note that population 1 is fathers and population 2 is sons. O A. Ho: H12 H2 Ha: H1 H2 Find the test statistic. Round to three decimal places as needed.) Find the P-value. P-value =| Round to four decimal places as needed.) What is the correct conclusion for the hypothesis test? O A. Reject Ho. There is sufficient evidence that sons are taller than their O B. Do not reject Ho. There is not sufficient evidence that sons are taller than fathers. their fathers. O C. Do not reject Ho. There is sufficient evidence that sons are taller than O D. Reject Ho. There is not sufficient evidence that sons are taller than their
What are the hypotheses for the t-test? Note that population 1 is fathers and population 2 is sons. O A. Ho: H12 H2 Ha: H1 H2 Find the test statistic. Round to three decimal places as needed.) Find the P-value. P-value =| Round to four decimal places as needed.) What is the correct conclusion for the hypothesis test? O A. Reject Ho. There is sufficient evidence that sons are taller than their O B. Do not reject Ho. There is not sufficient evidence that sons are taller than fathers. their fathers. O C. Do not reject Ho. There is sufficient evidence that sons are taller than O D. Reject Ho. There is not sufficient evidence that sons are taller than their
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
11. See photo
Transcribed Image Text: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 a = 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
3
4
74.2
Height of father (in inches)
Height of son (in inches)
65.4
71.4
72.1
65.4
69.8
65.7
75.0
77.4
70.3
63.0
67.6
.....
What are the hypotheses for the t-test? Note that population 1 is fathers and population 2 is sons.
A. Ho: H1ZH2
B. Ho: H1 = H2
Hại H1 < H2
Hại Hi # H2
O C. Ho: H1 = H2
Ha: H1> H2
O D. Ho: H1 = H2
Hai H1 <H2
Find the test statistic.
t=
(Round to three decimal places as needed.)
Find the P-value.
P-value =
(Round to four decimal places as needed.)
What is the correct conclusion for the hypothesis test?
O A. Reject Ho. There is sufficient evidence that sons are taller than their
B. Do not reject Ho. There is not sufficient evidence that sons are taller than
fathers.
their fathers.
O C. Do not reject Ho. There is sufficient evidence that sons are taller than
D. Reject Ho: There is not sufficient evidence that sons are taller than their
their fathers.
fathers.
Expert Solution
Step 1
Our aim is to test the claim that sons are taller than their fathers.
Here , we use the paired t-test.
The degrees of freedom is given by,
df=n-1=6-1=5
The table given below ,
| Observation | Height of father (x) | Height of son(y) | di=x-y | di^2 |
| 1 | 65.4 | 65.7 | -0.3 | 0.09 |
| 2 | 71.4 | 75 | -3.6 | 12.96 |
| 3 | 74.2 | 77.4 | -3.2 | 10.24 |
| 4 | 72.1 | 70.3 | 1.8 | 3.24 |
| 5 | 65.4 | 63 | 2.4 | 5.76 |
| 6 | 69.8 | 67.6 | 2.2 | 4.84 |
| Sum | -0.7 | 37.13 |
From table ,
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