Answer Happy

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 recording separately. A frequency table for number of refereed publications is given below for an SRS of 50 faculty members. 1 2 5 7 Referred Publications Faculty members 0 28 3 4 4 4 6 1 8 2 9 1 10 1 4 2 0 (a) Plot the data using a histogram. Describe the distribution of the data. (b) Estimate the mean number of publications per faculty member, and give the SE for your estimate. (c) Do you think the sampling distribution of the sample average will be normally distributed? Why, or why not? (d) Estimate the proportion of faculty members with no publications and give a 95% confidence interval. (e) Based on the result of these 50 faculty members, if an administrator wants to estimate the proportion of faculty members with no publications within 10% margin of error, with 95% confidence, what would be the required sample size?