A pet food company has a business objective of expanding itsproduct line beyond its current kidney and shrimp-based cat foods.The company developed two new products, one based on chicken liverand the other based on salmon. The company conducted an experimentto compare the two new products with its two existing ones, as wellas a generic beef-based product sold at a supermarket chain. Forthe experiment, a sample of 50 cats from the population at a localanimal shelter was selected. Ten cats were randomly assigned toeach of the five products being tested. Each of the cats was thenpresented with 3 ounces of the selected food in a dish at feedingtime. The researchers defined the variable to be measured as thenumber of ounces of food that the cat consumed within a 10-minutetime interval that began when the filled dish was presented. Theresults are summarized in the dataset(CatFood.xlsx).
Where CatFood.xlsx Data:
Kidney Shrimp Chicken Liver Salmon Beef
2.37 2.26 2.29 1.79 2.09
2.62 2.69 2.23 2.33 1.87
2.31 2.25 2.41 1.96 1.67
2.47 2.45 2.68 2.05 1.64
2.59 2.34 2.25 2.26 2.16
2.62 2.37 2.17 2.24 1.75
2.34 2.22 2.37 1.96 1.18
2.47 2.56 2.26 1.58 1.92
2.45 2.36 2.45 2.18 1.32
2.32 2.59 2.57 1.93 1.94
To test that there is evidence of a difference in themean amount of food eaten among the various products, fill in allthe values in the following One-way ANOVA summarytable.
| Source of Variation | SS | df | MS | F |
| Among Groups | | | | |
| Within Groups | | | | - |
| Total | | | - | - |
At the 0.01 level of significance, is there evidence ofa difference in the mean amount of food eaten among the variousproducts? Test the hypothesis using F test based on the result of(a).
At the 0.01 level of significance, determine whichproducts appear to differ significantly in the mean amount of foodeaten using the Tukey-Kramer method.
At the 0.01 level of significance, is there evidence ofa difference in the variation in the amount of food eaten among thevarious products? Test the homogeneity of the variances using theLevene’s test.
