Mean Degrees of Sum of Square Consider an experiment with Source Freedom Squares (Variance) F four groups, with five values in Among C-1 =? SSA=? MSA=95 FSTAT=? each. For the ANOVA summary groups table shown to the right, fill in all Within n- c=? SSW = 304 MSW =? the missing results. groups Total n-1=? SST=? . . . Complete the ANOVA summary table below. Degrees of Sum of Mean Square Source Freedom Squares (Variance) F Among groups C - 1 = SSA= MSA = 95 FSTAT= Within groups n - C= SSW = 304 MSW = Total n - 1 = SST = (Simplify your answers.)An experiment has a single factor with six groups and ve values in each group. In determining the among-group variation, there are 5 degrees of freedom. In determining the within-group variation, there are 24 degrees of freedom. In determining the total variation, there are 29 degrees of freedom. Also, note that SSA = 125, SSW = 120, SST = 245, MSA = 25, MSW = 5, and FSTAT = 5. Complete parts (a) through (d). Click here to view p_age 1 of the F table. Click here to view p_age 2 of the F table. Click here to view p_age 3 of the F table. Click here to view p_age 4 of the F table. E) a. Construct the ANOVA summary table and ll in all values in the table. Degrees of Sum of Mean Square Source Freedom Squares (Variance) F Among groups D D D D Within groups B D _ Q Total D D (Simplify your answers.) A pet food company conducted an experiment to compare five different cat foods. A sample of 30 cats from the population at a local animal shelter was selected. Six cats were randomly assigned to each of the five products. Each was then presented with 3 ounces of the selected food in a dish at feeding time. The researchers defined the variable to be measured as the number of ounces of food that the cat consumed within a 10-minute time interval. The results for this experiment are summarized in the accompanying table. Complete (a) through (d) below. Click on the icon to view the results. Run STATCRUNCH or SPSS to get the required information! You may need to run the Tukey procedure! . . . a. At the 0.05 level of significance, is there evidence of a difference in the mean amount of food eaten among the various products? Determine the hypotheses. Choose the correct answer below. OA. Ho: My = 12= . . . = H6 OB. Ho: My = H2= . . . = 15 Hy: Not all u; are equal H,: Not all u; are equal (where j = 1,2, ...,6) (where j = 1,2, ...,5) OC. Ho: My = 12= . . . = 15 OD. Ho: My = 12= . . . = 16 Hy:My # H2 # . . . # 15 H: H # Hz # . . . # H6 Find the test statistic. FSTAT = (Round to two decimal places as needed.) Determine the critical value. Fa = (Round to two decimal places as needed.)Reach a decision. |:| H0. There is El evidence of a difference in the mean amount of food eaten among the various products. b. If appropriate, determine which products differ in the mean amount of food eaten. Let the kidney-based cat food be group 1, the shrimp-based cat food be group 2, the chicken liver-based cat food he group 3, the salmon-based cat food he group 4, and the beefbased cat food he group 5. Is there signicant evidence that group 1 and group 2 differ in the mean amount of food eaten? OA. No 0 B. Yes 0 C. It is not appropriate to test which products differ in the mean amount of food eaten. Is there signicant evidence that group 1 and group 3 differ in the mean amount of food eaten? CA. No 0 B. Yes 0 C. It is not appropriate to test which products differ in the mean amount of food eaten. Is there signicant evidence that group 1 and group 4 differ in the mean amount of food eaten? O A. Yes 0 B. No 0 C. It is not appropriate to test which products differ in the mean amount of food eaten. Is there signicant evidence that group 1 and group 5 differ in the mean amount of food eaten? O A. No 0 B. Yes 0 c. It is not appropriate to test which products differ in the mean amount of food eaten. Is there signicant evidence that group 2 and group 3 differ in the mean amount of food eaten? O A. Yes 0 B. No 0 C. It is not appropriate to test which products differ in the mean amount of food eaten. Is there signicant evidence that group 2 and group 4 differ in the mean amount of food eaten? O A. No 0 B. Yes 0 C. It is not appropriate to test which products differ in the mean amount of food eaten. Is there signicant evidence that group 2 and group 5 differ in the mean amount of food eaten? O A. No 0 B. Yes 0 C. It is not appropriate to test which products differ in the mean amount of food eaten. Is there signicant evidence that group 3 and group 4 differ in the mean amount of food eaten? O A. Yes 0 B. No 0 C. It is not appropriate to test which products differ in the mean amount of food eaten. Is there significant evidence that group 3 and group . aller in the mean amount Of Tooa eaten ? O A. No O B. Yes O C. It is not appropriate to test which products differ in the mean amount of food eaten. Is there significant evidence that group 4 and group 5 differ in the mean amount of food eaten? O A. No O B. Yes O C. It is not appropriate to test which products differ in the mean amount of food eaten. c. At the 0.05 level of significance, is there evidence of a difference in the variation in the amount of food eaten among the various products? Determine the hypotheses. Choose the correct answer below. OA. HO:4 =07 =. . OB. Ho: 04 = 02 ? = . . . =0 H,: Not all of are equal H,: Not all of are equal (where j = 1,2, ...,6) (where j = 1,2, ...,5) OC. H:07 =6 = . . . =0 OD. H: 07 =0 = . . .=6 NON NI # . . H:0707 . 706Reach a decision. |:l H0. There is |:l evidence to conclude that there is a difference in the variation in the amount of food eaten among the various products. (I. The pet food company has a business objective of expanding its product line beyond its current kidney- and shrimp-based cat foods. The company developed two new products, which are the chicken liver- and salmon-based cat foods. The beef-based cat food is a generic product sold in a supermarket chain. What should the company conclude in terms of expanding its product line? Choose the correct conclusion below. 0 A. The salmon-based cat food is the best choice for expansion. The chicken liver-based cat-food is a possibility for expansion; its mean amount of food eaten is signicantly larger than the beef-based cat food, but smaller than the other cat foods. 0 B. The chicken liverbased cat food is the best choice for expansion. The salmon-based cat-food is a possibility for expansion; its mean amount of food eaten is signicantly larger than the beef-based cat food, but smaller than the other cat foods. 0 C. It does not matter which product(s) islare used for expansion because there are no signicant differences in the mean amounts eaten among the various products