Question
Asked Feb 19, 2020
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Hypothesis Test Use a 0.05 significance level to test the claim that differences between heights of fathers and their sons have a mean of 0 in.

68.0
65.5
67.5
71.0
Father
68.0
60.0
66.0
70.0
68.0
64.0
63.0
62.0
65.5
Mother
Son
59.0
69.0
71.0
66.0
71.0
64.0
71.0
70.0
71.7
71.0
68.0
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68.0 65.5 67.5 71.0 Father 68.0 60.0 66.0 70.0 68.0 64.0 63.0 62.0 65.5 Mother Son 59.0 69.0 71.0 66.0 71.0 64.0 71.0 70.0 71.7 71.0 68.0

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Expert Answer

Step 1

State the test hypotheses.

Consider Difference =Height of father –Height of son

Null hypothesis:

H0d =0

Alternative hypothesis:

H1d ≠0

 

 

Step 2

The test statistic for the paired t-test is given as follows:

Statistics homework question answer, step 2, image 1

Step 3

The following table shows the necessary calculations for finding the test statistic:

Statistics homework question answer, step 3, image 1

...

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