Question

Math

Posted 3 months ago

```
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) $50,63,55,10,04$
```

Sign in to unlock the answer

Answer from Sia

Posted 3 months ago

Solution by Steps

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.

Not the question you are looking for? Ask here!

Enter question by text

Enter question by image

Upgrade to Asksia Pro

Join a AskSia's Pro Plan, and get 24/7 AI tutoring for your reviews, assignments, quizzes and exam preps.

Unlimited chat query usages

Strong algorithms that better know you

Early access to new release features

Study Other Question