Inferential stats question No data set given this is all the

Inferential stats question. No data set given, this is all the information for the problem.

The data on crabs considered here has body depth (in nun) measures on 50 crabs each of two color forms (blue and orange) and both sexes (male and female). The partially filial anova table is given below: Fill the remaining entries in the ANOVA table. For computing the the p-values use the t-table provide. Use the last row corresponding to infinite (infinity) degrees of freedom. Comment on the significance of the interaction. Do you think you should ka:p the variable sex in your model?

Solution

Number of crabs consider in study is equal to 50 i.e n= 50

(a)

ANOVA Table is as follows

Source                Sum Sq.         df          Mean sum Sq.        F- Ratio            P- value

Color                   419.051          1           419.051                 10.172              0.9974

Sex                      18.788            1           18.788                    0.456               0.497

Color * Sex           42.412           1           42.412                    1.0295             0.6843

Residual               1853.833      45         41.196

Total                    2334.084        49

(b) all calculated p- value is greater than p- value. so we conclude that there are significant effect on the crabs boady depth with colour and sex as well as both. so there is interaction effect between cplour and sex on the depth of the crabs.