Question

# Based on the information in the source table below and given an alpha level of 0.05,...

1. Based on the information in the source table below and given an alpha level of 0.05, what would you conclude?
 Source SS df MS F Between-groups 100 2 50 42.02 Within-groups 50 42 1.19 Total 150 44
1. Reject the null hypothesis. The calculated F is larger than the critical value.
2. Fail to reject the null hypothesis. The calculated F is smaller than the critical value.
3. Fail to reject the null hypothesis. The calculated F is larger than the critical value.
4. Reject the null hypothesis. The calculated F is smaller than the critical value.
1. _____ can be interpreted as the proportion of variance in the dependent variable that is accounted for by the independent variable.

1. MS
2. R2
3. F
4. D

Solution:

Mean Sum of squares between- groups =

SS between groups/ 2 = 100/2= 50

Mean Sum of Squares within groups(Error) = SSE/42= 50/42= 1.1905

Variance Ratio F= MSS between groups/ MSE = 50/1.1905 = 41.999

Critical value: Tabulated F 0. 05 for 2 and 42 d. f is 3.22

Since calculated F > tabulated F at 0.05 level of significance, Reject Null hypothesis.

Option a) is correct. Reject the null hypothesis. The calculated F is larger than the critical value.

Option c) F can be interpreted as the proportion of variance in the dependent variable that is accounted for by the independent variable.