The accompanying table lists heights(in inches) of randomly selected fathers and their first sons. Use a 0.05

0.05 significance level to test the claim that there is no difference in heights between fathers and their first sons.

in thisexample, mu Subscript d is the mean value of the differences d for the population of all pairs ofdata, 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 hypothesistest?

find H0 and H1 in in.

find the test statistic ?

find the p value?

Height of Father Height of Son

69.5 67.9

72.0 71.9

69.8 70.4

69.1 71.1

69.8 72.3

65.7 68.6

67.2 64.0

71.5 70.0

66.6 69.8

67.2 70.3

61.6 64.6

68.6 69.2

69.0 70.9

73.6 74.4

71.4 68.0

68.7 70.8

72.5 73.6

71.1 73.9

72.4 73.9

70.0 78.7

69.5 74.2

69.7 68.3

69.4 67.6

71.0 67.4

67.3 68.3

64.0 66.3

68.6 71.4

69.4 70.2

66.1 69.3

66.9 66.7

68.5 65.5

71.2 71.8

71.5 68.1

69.4 70.8

65.5 67.0

72.0 72.3

71.3 73.3

71.3 72.1

69.7 73.9

70.4 69.9

67.2 65.9

66.7 69.8

70.3 72.7

69.9 70.7

68.9 73.3

70.8 69.3

73.7 71.5

68.7 68.8

70.2 71.5

70.0 72.6

67.1 69.8

67.8 71.3

67.1 68.0

67.5 69.8

76.4 74.3

65.0 69.5

70.8 78.3

70.3 72.4

68.9 73.9

69.8 71.2

70.7 71.2

63.3 65.1

69.6 70.2

68.5 70.8

71.7 69.1

68.1 70.8

73.0 73.9

65.9 68.8

66.5 70.2

64.9 70.8

69.6 70.0

67.1 70.0

69.4 70.1

65.7 69.5

63.9 69.6