Assume a hypothetical survey reports that the average number of articles published over a 5-year period in refereed academic journals by faculty at 4-year liberal arts colleges nationwide is 3.2. The faculty at Almost Ivy college publish an average of 3.7 articles during that same 5-year period, with a standard deviation (using n - 1) of .80. There are 60 faculty at Almost Ivy.
a. State the directional hypothesis.
b. Determine the critical t for α = .01.
c. Calculate t, using the sample standard deviation as the estimated population standard deviation. Show your work.
d. Did the faculty at Almost Ivy publish significantly more articles than their peers nationwide?