Q6BSC Weights The weights (kg) in the ... [FREE SOLUTION]

Chapter 12: Q6BSC (page 566)

Weights The weights (kg) in the following table are from Data Set 1 鈥淏ody Data鈥� in Appendix B. Results from two-way analysis of variance are also shown. Use the displayed results and use a 0.05 significance level. What do you conclude?

Female
Male
18-29
63.4
57.8
52.6
46.9
61.7
61.5
77.2
50.4
97
76.1
71.6
64.9
144.9
96.4
80.7
84.4
63.9
79
99.4
64.1
30-49
110.5
84.6
133.3
90.2
125.7
105.3
115.5
75.3
92.8
57.7
96.2
56.4
107.4
99.5
64.8
94.7
74.2
112.8
72.6
91.4
50-80
103.2
48.3
87.8
101.3
67.8
45.2
79.8
60.1
68.5
43.3
84.8
127.5
89.9
75.3
110.2
72.3
77.2
86.5
71.3
73.1

Expert verified

It can be concluded that there is a significant interaction effect between age and gender on the weights of the subjects.

The ANOVA table is provided for the data given on weights (kgs) under two factors:

For the given two-way analysis of variance, the following hypotheses are set up:

Null Hypothesis: There is no interaction between the factors age and gender on weights.

Alternative Hypothesis: There is an interaction between the factors age and gender on weights.

The ANOVA output shows that the p-value corresponding to the F statistic value (under interaction) of 3.6652678 is equal to 0.0322.

Since the p-value (030322) is less than the significance level (0.05), the decision is to reject the null hypothesis.

It can be concluded that there is an interaction between the factors of age and gender on weights.

Since the interaction effect appears to be statistically significant, there is no need to test the individual effects of age and gender.

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