Question

1. the least-squares line slopes downwardFour types of treatment are given to four group of babies and the age when the babies first walk are recorded. Assume that        the data satisfy all ANOVA assumptions. The following is the ANOVA table:

Source	df	SS	MS	F
Treatment	3	24.75	8.26	3.59
Error	19	43.69	2.30
Total	22	68.47

The critical value for a = 5% is F_3,19,.95 = 3.13. Which of the following is correct conclusion?

a. We reject H₀, i.e., there is significant difference in effectiveness among the treatments.

b. We fail to reject H₀, i.e., there is significant difference in effectiveness among the treatments.

c. We reject H₀, i.e., there is no significant difference in effectiveness among the treatments.

d. We fail to reject H₀, i.e., there is no significant difference in effectiveness among the treatments.

Answer 1

Option (a) is correct.

We reject H0, I. e there is significant difference in effectiveness among the treatment.

Explanation :

We know that if test statistic is greater than critical value then we can reject null hypothesis.

Since test statistic value is larger than critical value hence reject H0.

I. E 3.59 > 3.13