Laboratory experiment, ANOVA : Recall the laboratory experiment described in Exercise 13.2. The response variable is weight gains (in grams). There are three groups of lab animals, each with five test animals. Data are shown in Table 13.4.

a). one-way analysis of variance for this problem. Show all hypothesis testing steps, and interpret the results.

TABLE 13.4 Weight gain over a 1-month period (grams) in lab mice :

group 1 (standard) : 9.09 , 9.96 , 9.72 , 9.64 , 8.14

group 2 (junk food): 10.21 , 10.48 , 13.01 , 12.74 , 12.58

group 3 (organic): 9.03 , 9.55 , 12.35 , 9.33 , 9.51

Data were generated with a random number generator so that X1 ~ N(10,1), X2 ~ (12,1), and X3 ~ N(10,1).

Recall the laboratory experiment described in Exercise 13.2 : This the question that is referenced in the question above but I already did 13.2. I included it as reference.

13.2 : The ubiquity of junk food may contribute to the high prevalence of obesity in western societies. Table 13.4 lists data from a study in which 15 lab mice were randomly assigned to one of three groups: group 1 received a standard diet, group 2 received a diet of junk food, and group 3 received an organic diet. The response variable is weight gains (grams) over a 1-month period.