Imagine an experiment where the mean of the experimental group is 50 and the mean of the control group is 40. Given that the two means are obviously different, is it still possible for a researcher to say that the two groups are not significantly different?
A) Yes, the two groups could overlap so much that the difference was not significant.
B) Yes, if the difference was not predicted by the hypothesis.
C) No, because the two groups are clearly far too different for the difference to not be significant.
D) There is not enough information to answer this question.

Question

Quizplus · Accepted Answer

Even though the means of the two groups are different, there could be so much variability within each group that the difference between the two means is not statistically significant. This highlights the importance of calculating a measure of variability, such as standard deviation, and conducting a statistical test to determine whether the difference is significant or occurred by chance.

Imagine an Experiment Where the Mean of the Experimental Group