(Solution) - Let s return to the situation in Exercise 6 of Chapter -(2025 Original AI-Free Solution)

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Let?s return to the situation in Exercise 6 of Chapter 2, in which we took an SRS to estimate the average and total numbers of refereed publications of faculty and research associates. Now, consider a pps sample of faculty. The 27 academic units range in size from 2 to 92. We used Lahiri?s method to choose 10 psus with probabilities proportional to size and with replacement, and took an SRS of four (or fewer, if Mi < 4) members from each psu. Note that academic unit 14 appears three times in the sample; each time it appears, a different subsample was collected.

Find the estimated total number of publications, along with its standard error.