A researcher has analyzed differences in average College Board scores for random samples of students from four different colleges. The obtained F score is 0.45. What can be concluded about the null hypothesis?
A) Nothing, more information is needed
B) Reject, the differences did not occur by random chance
C) Fail to reject, differences are not statistically significant
D) Fail to reject, differences are statistically significant

Question

Quizplus · Accepted Answer

The obtained F score is less than 1, indicating that the variability between the sample means is not much greater than the variability within each sample. Therefore, the null hypothesis is not rejected and the differences in average College Board scores between the four colleges are not statistically significant.

A Researcher Has Analyzed Differences in Average College Board Scores