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Chapter 12: Q10CQQ (page 566)

Estimating Length Using the same results displayed in Exercise 8, does it appear that the length estimates are affected by the subject鈥檚 major?

Short Answer

Expert verified

As the p-value equal to 0.13 is greater than 0.05, it can be concluded that the factor 鈥榤ajor鈥� does not have a significant effect on the visual estimation of the length of the classroom.

Step by step solution

01

Step 1

Refer to Exercise 8 for the minitab output.

02

Analysis of the two-way analysis of variance

The hypotheses analyzed in the two-way analysis of variance test are as follows.

  • Effect of the interaction term.
  • Effect of factor 1, sex
  • Effect of factor 2, major

The null hypothesis to test the effect of factor 2, major, is as follows.


There is no significant effect of major on the visual estimates of the class length.

The value of the F-statistic for the factor 鈥榤ajor鈥� is equal to 0.13.

The corresponding p-value is equal to 0.876.

As the p-value is greater than 0.05, the null hypothesis is failed to reject.

Thus, there is not enough evidence to conclude that the type of major has a significant effect on the length estimates.

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Female

Male

18-29

104

82

80

78

80

84

82

66

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64

72

64

64

70

72

30-49

46

54

76

66

78

68

62

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60

60

80

90

58

74

96

72

58

50-80

94

72

82

86

72

90

64

72

72

100

54

102

52

52

62

82

82
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