Assume that a test is given to a large number of
people but we do not yet know their scores or the shape of the score distribution. Can we be sure that the
sampling distribution of the mean for this test will be normally distributed? Why or why not?

Yes.In the establishment of the mean,all the scores of the participants are put into consideration.This leads to establishment of an average figure for the score attained by the participants.Therefore, the score distribution of the mean for the test must be normally distributed since every-ones score is considered and included in calculating the mean for the test.