Weights The weights (kg) in the following table are from Data Set 1 “Body Data” 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

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

• Age bracket (18-29, 30-49, and 50-80)
• Gender (male and female)

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.