A psychology professor who taught averylarge lecture class wanted to test whether the students who turned in tests early scored differently from the overall mean on the test. The overall mean score on the test was 74 with a standard deviation of 9. The mean score for the first 81 students to turn in tests was 75.

(i) Would the professor use a one-tailed or a two-tailed test:

(ii) What is the probability that he would obtain his result due to chance (answer with 4 decimal places):

(iii) What is the statistical conclusion the professor should reach at the 0.05 level:

(iv) Compute the 70% confidence interval limits:LowerandUpper