Astatistics instructor who teaches a lecture section of 160 student wants to determine weather the students have more difficulty with one-tailed hypothesis test or with two-tailed hypothesis test. on the next exam, 80 of stuents, choosen at random, get the version of the exam with a 10 point question that required a one-tailored test. the other 80 students get the question that is identical except that it required a two tailed-test. the one-tailed students average at 7.79 point, and the i standard deviation is 1.06 points. the two tailed students average 7.64 point, and their standard deviation is 1.31 point.

can you conclude that the mean score μx on one-tailed hypothesis test questions is higher than the mean score μy on two-tailed hypothesis test questions? state the appropriate null and alternate hypotheses, and then compute the p-value. check all that are true.