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1. To estimate how many library books need rebinding, a librarian uses a random

ID: 3307061 • Letter: 1

Question

1. To estimate how many library books need rebinding, a librarian uses a random number table to select 100 locations on the library shelves; each location has at least one book He then walks to each location, looks at the books in that location, and carefully checks all books which are at least 10 years old to see whether the books need rebinding or not a) Describe the sampling frame, sampling units and the observation units (b) Describe the target population and sampled population. Are there any sources of bias? Describe them. (c) What is the population quantity of interest?

Explanation / Answer

(a) The sampling frame is the library of books under consideration. The sampling uints are the library shelves. The observation units are the books in the shelves that are at least 10 years old.

(b) The target population consists of all the books in the library that need rebinidng. The source of bias is that the shelves do not contain equal number of at least 10 year old books, so important shelves may have been missed out as well.

(c) The population quantity of interest is the number of books in the library that need rebinidng.

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