Question

You are conducting a study of three types of feed supplements for cattle to test their effectiveness in producing weight gain among calves whose feed includes one of the supplements. You have four groups of 30 calves (one is a control group receiving the usual feed, but no supplement). You will conduct a one-way ANOVA after one year to see if there are difference in the mean weight for the four groups. What is k for this experiment?

a. 3
b. 30
c. 4
d. 120

Answer 1

In a study with three supplements and one control group, the value of k, which represents the number of groups, is 4.

Step-by-step explanation:

In a study testing the effectiveness of three types of feed supplements for cattle, k represents the number of groups. In this experiment, there are four groups of 30 calves, including the control group. Hence, the value of k for this experiment is 4.

The one-way ANOVA will be used after one year to determine if there are significant differences in the mean weight across the four groups (three supplement groups and one control group).

Answer 2

since we have four groups, the number of population k = 4

Option C. 4 is the correct answer

Step-by-step explanation:

Given the data in the question;

Number of group k = 4

the number of cases in each group = 30

so

n = 4 × 30

n = 120

SS_total = df = n - 1

= 120 - 1

= 199

SS_between = k - 1

= 4 - 1

= 3

since we have four groups, the number of population k = 4

Option C. 4 is the correct answer