A university has 807 faculty members. For each faculty member, the number of refereed publications was recorded.

Question:

A university has 807 faculty members. For each faculty member, the number of refereed publications was recorded. This number is not directly available on the database, so requires the investigator to examine each record separately. A frequency table for number of refereed publications is given below for an SRS of 50 faculty members

a. Plot the data using a histogram. Describe the shape of the data.
b. Estimate the mean number of publications per faculty member, and give the SE for your estimate.
c. Do you think that y from (b) will be approximately normally distributed? Why or why not?
d. Estimate the proportion of faculty members with no publications and give a 95% CI.