The following sample data were recently collected in the course of conducting a randomized block analysis of variance.Based on these sample data,what conclusions should be reached about blocking effectiveness and about the means of the three populations involved? Test using a significance level equal to 0.05.
A)Because F = 0.4195

Question

The following sample data were recently collected in the course of conducting a randomized block analysis of variance.Based on these sample data,what conclusions should be reached about blocking effectiveness and about the means of the three populations involved? Test using a significance level equal to 0.05. 
A)Because F = 0.4195 < critical F = 4.103,we do not reject the null hypothesis and conclude that the three populations may have the same mean value. 
B)Because F = 0.4195 < critical F = 4.103,we reject the null hypothesis and conclude that the three populations do not have the same mean value. 
C)Because F = 0.1515 < critical F = 4.103,we do not reject the null hypothesis and conclude that the three populations may have the same mean value. 
D)Because F = 0.1515 < critical F = 4.103,we reject the null hypothesis and conclude that the three populations do not have the same mean value.

Quizplus · Accepted Answer

The null hypothesis for a randomized block ANOVA is that the mean values of the populations are equal. The F-test is used to determine if the null hypothesis should be rejected or not. The test statistic is compared to a critical F-value, which depends on the degrees of freedom and significance level chosen. In this case, the F-value is 0.1515 and the critical F-value is 4.103 for a significance level of 0.05. Since 0.1515 < 4.103, we do not reject the null hypothesis and conclude that the three populations may have the same mean value. This means that blocking did not have a significant effect on the outcome of the study, and any observed differences in means may be due to chance.

The Following Sample Data Were Recently Collected in the Course