The accompanying table lists heights (in inches) of randomly selected fathers and their first sons. Use a 0.05 significance level to test the claim that there is no difference in heights between fathers and their first sons. Height of Father 69.4 71.4 68.8 69 71 65.3 67.2 70.3 66.9 68.2 61.5 68.6 69.5 74 71.3 68.1 72.7 71.8 73.8 71.1 71.5 69.8 69.6 69.3 67.1 66 69.5 68 66.1 65.1 68.8 72 72.1 68.7 65.2 71.8 71.5 72.2 70.5 70.7 68.5 67.4 71.3 69.1 69 70 73 69.1 69.5 69.1 67.3 68.7 67.3 69.2 76.2 65.4 69.1 70.5 68.3 68.5 69.3 64.2 68.4 68.3 70.7 67.2 71.7 65.3 66.1 65.4 70.7 66.9 70.1 64.9 64 Height of Son 68 71.3 70.5 71.5 72.9 67.7 64.6 70.2 69.5 71.3 64.9 69.9 71.3 74.8 67.9 70.8 73.4 73.5 73.2 77.4 73.4 67.1 67.5 68.6 67.9 66.9 70.7 70.9 70 65.2 65.6 71.6 69.5 70.7 67 71.9 74.1 72.5 73.8 69.4 65.4 69.8 73.8 71.6 72.1 69.5 71.1 69.5 70.4 73.2 69.1 72.4 68.7 69 73.2 69.9 78.1 72.4 72.2 71.1 71.8 65.1 69.7 71 69.6 71.6 72 69.7 70.6 71.3 69.8 69.7 70.3 70.1 70.3 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 height of the father minus the height of the first son. What are the null and alternative hypotheses for the hypothesis test? H0: μd __ _ in H1: μd _ _ in. (Type integers or decimals. Do not round.) Identify the test statistic. t= (Round to two decimal places as needed.) Identify the P-value. P-value= (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? Since the P-value is _ than the significance level, H0. There _ sufficient evidence to warrant rejection of the claim of no difference in heights between fathers and their first sons.

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

The accompanying table lists heights (in inches) of randomly selected fathers and their first sons. Use a 0.05 significance level to test the claim that there is no difference in heights between fathers and their first sons.

Height of Father
69.4
71.4
68.8
69
71
65.3
67.2
70.3
66.9
68.2
61.5
68.6
69.5
74
71.3
68.1
72.7
71.8
73.8
71.1
71.5
69.8
69.6
69.3
67.1
66
69.5
68
66.1
65.1
68.8
72
72.1
68.7
65.2
71.8
71.5
72.2
70.5
70.7
68.5
67.4
71.3
69.1
69
70
73
69.1
69.5
69.1
67.3
68.7
67.3
69.2
76.2
65.4
69.1
70.5
68.3
68.5
69.3
64.2
68.4
68.3
70.7
67.2
71.7
65.3
66.1
65.4
70.7
66.9
70.1
64.9
64

Height of Son
68
71.3
70.5
71.5
72.9
67.7
64.6
70.2
69.5
71.3
64.9
69.9
71.3
74.8
67.9
70.8
73.4
73.5
73.2
77.4
73.4
67.1
67.5
68.6
67.9
66.9
70.7
70.9
70
65.2
65.6
71.6
69.5
70.7
67
71.9
74.1
72.5
73.8
69.4
65.4
69.8
73.8
71.6
72.1
69.5
71.1
69.5
70.4
73.2
69.1
72.4
68.7
69
73.2
69.9
78.1
72.4
72.2
71.1
71.8
65.1
69.7
71
69.6
71.6
72
69.7
70.6
71.3
69.8
69.7
70.3
70.1
70.3

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 height of the father minus the height of the first son. What are the null and alternative hypotheses for the hypothesis test?

H0: μd ____ _____ in

H1: μd _____ _____ in.

(Type integers or decimals. Do not round.)

Identify the test statistic.

(Round to two decimal places as needed.)

Identify the P-value.

P-value=

(Round to three decimal places as needed.)

What is the conclusion based on the hypothesis test?

Since the P-value is _____ than the significance level, ______ H0. There _____
sufficient evidence to warrant rejection of the claim of no difference in heights between fathers and their first sons.

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