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 70 textbooks to test his theory. He numbers them 01-70 and, using the random digit table printed below, selects a simple random sample of 5 books to check.

Which books are in the sample?
8506355810104700802930025

Choose 1 answer:
(A) $06,35,58,10,10$
(B) $06,35,58,10,47$
(c) $85,06,35,58,10$
(D) $50,63,55,10,04$

Question

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 70 textbooks to test his theory. He numbers them 01-70 and, using the random digit table printed below, selects a simple random sample of 5 books to check.

Which books are in the sample?
8506355810104700802930025

Choose 1 answer:
(A) $06,35,58,10,10$
(B) $06,35,58,10,47$
(c) $85,06,35,58,10$
(D) $50,63,55,10,04$

Accepted Answer

∻Solution by Steps∻ ‖ step 1 ⋮ To select a simple random sample of 5 books, we will use the random digit table provided. Each book is numbered from 01 to 70. We will read two-digit numbers from the random digit table and ignore any numbers above 70 or any repeats. ‖ ‖ step 2 ⋮ Reading the sequence from the random digit table: 85063 55810 10470 08029 30025, we start with the first two digits '85', which is above 70 and thus ignored. ‖ ‖ step 3 ⋮ The next two digits '06' are within the range 01 to 70, so book 06 is part of the sample. ‖ ‖ step 4 ⋮ Continuing with '35', it is within the range and is included as book 35 in the sample. ‖ ‖ step 5 ⋮ The next two digits '58' are also within the range, so book 58 is included in the sample. ‖ ‖ step 6 ⋮ The digits '10' are within the range, so book 10 is included in the sample. ‖ ‖ step 7 ⋮ We ignore the next '10' as it is a repeat. ‖ ‖ step 8 ⋮ The next valid number within the range is '47', so book 47 is included in the sample. ‖ ‖ step 9 ⋮ We have now identified the 5 books in the sample: 06, 35, 58, 10, and 47. ‖ ∻1 Answer∻ ***B*** ∻Key Concept∻ ⚹Simple Random Sampling Using a Random Digit Table⚹ ∻Explanation∻ ⚹To select a simple random sample from a numbered list using a random digit table, read off two-digit numbers within the range of the list, ignoring any numbers outside the range or repeats, until the desired sample size is reached.⚹◊What is the probability of selecting a specific book from a random sample of 5 books out of 70 textbooks based on the given information⍭ Generate me a similar question◊

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