Question

An experiment was conducted to determine if there was a mean difference in weight for women based on type of aerobics exercise program participated (low impact vs. high impact). Body mass index (BMI) was used as a blocking variable to represent below, at, or above recommended BMI. The data are shown as follows. Conduct a two-factor randomized block ANOVA (alpha = .05) and Bonferroni MCPs using SPSS to determine the results of this study.

Subject	Exercise Program	BMI	Weight
1	1	1	100
2	1	2	135
3	1	3	300
4	1	1	95
5	1	2	140
6	1	3	180
7	2	1	120
8	2	2	152
9	2	3	176
10	2	1	128
11	2	2	142
12	2	3	220

Answer 1

From the given data, SPSS Ouput

As per above table,

the significant value of Exercise is 0.929 > 0.05 so Exercise is not significant i.e. there is no significant of means among the levels of Exercise

the significant value of BMI is 0.016 > 0.05 so BMI is significant. i.e. Not all levels of BMI are equal

the significant value of Interaction effiect Exercise and BMI is 0.447 > 0.05 so there is no interaction effect

Since the interval contain zero in the two pairs so there is no significance difference among the pairs

Since the interval not contain zero in the two pairs (3,1) and (3,2) so Level 3 is significant difference among the level 2 and level 1 of BMI