A statistics instructor who teaches a lecture section of 160 student wants to determine weather the students have more difficult
y 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.
There is not enough statistical evidence to state that the mean score on one-tailed hypothesis test questions is higher than the mean score on two-tailed hypothesis test questions.
Step-by-step explanation:
To solve this problem, we run a hypothesis test about the difference of population means.
The appropriate hypothesis system for this situation is:
Since, the calculated statistic is less than critical , the null hypothesis do not should be rejected. There is not enough statistical evidence to state that the mean score on one-tailed hypothesis test questions is higher than the mean score on two-tailed hypothesis test questions.