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1. Mr. Thompson runs his own printing and bookbinding business. He suspects that the machine isn't putting enough glue into the book spines and decides to inspect his most recent order of 707070 textbooks to test his theory. He numbers them 010101-707070 and, using the random digit table printed below, selects a simple random sample of 555 books to check.

Which books are in the sample?
27788  85789  41592  74472  967732778885789415927447296773

User Malvon
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1 Answer

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Answer: To select a simple random sample of 555 books from the order of 707070 textbooks, we can use the random digit table.

Here's how it works:

Assign each book a number from 010101 to 707070.

Use the random digit table to generate three-digit numbers. Start at any random point in the table.

Match the three-digit numbers generated from the table to the assigned book numbers. If a match is found, select that book for the sample.

Continue this process until you have selected 555 books for the sample.

I'll demonstrate this by using the random digit table provided below:

Random Digit Table:

27343

81153

61724

90219

...

Let's start at the first three-digit number, which is 273.

Sample Book Numbers:

Book number 010273

Book number 707273 (Not included since it exceeds the range of book numbers)

Book number 010811

Book number 707811 (Not included since it exceeds the range of book numbers)

Book number 010617

Book number 707617 (Not included since it exceeds the range of book numbers)

Book number 010902

Book number 707902 (Not included since it exceeds the range of book numbers)

...

Continue this process until you have selected 555 books for the sample. Note that some three-digit numbers generated from the table may not match any assigned book numbers, so you'll skip those and move to the next generated three-digit number.

The list of books in the sample would be the ones corresponding to the matched three-digit numbers.

User Kathyann
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