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Apartment living You are planning a report on apartment living in a college town. You decide to select three apartment complexes at random for

in-depth interviews with residents.

(a) Explain how you would use a line of Table D to choose an SRS of 3 complexes from the list below. Explain your method clearly enough for a classmate to obtain your results.

(b) Use line 117 to select the sample. Show how you use each of the digits.

Short Answer

Expert verified

Part (a) There are three different numbers between 01 and 33.

Part (b) Three apartment complexes selected for in-depth interviews are:

Fairington (16), Waterford Court (32) and Fowler(18).

Step by step solution

01

Part (a) Step 1: Given information

No. of an apartment complex , n=3

From the following list of apartment complex names, we must select an SRS of three residential complexes.

02

Part (a) Step 2: Concept

A simple random sample (SRS) of size n is made up of n people chosen from the population with an equal chance of being the sample that is actually chosen.

03

Part (a) Step 3: Explanation

Each complex is alphabetically labelled from 01 through 33. Pick a starting point from the random number table. Make a list of two-digit numbers, skipping any that aren't between 01 and 33 or are duplicates, until you have three distinct numbers between 01 and 33.

04

Part (b) Step 1: Calculation

The following is the given table-

Using a random digit table, a two-step approach will be performed to select an SRS.

1) Alphabetically label each complex from 01 to 33. Labels 01 to 33 have been added to the alphabetized list of complexes below:

2) Using a table of random digits, Start reading two-digit groupings from the left side of line 117. Because our complexes are branded 01-33, select the first three unique numbers ranging from 01 to 33, which will be selected complex. Because the same complex cannot be selected more than once, if the number is repeated, utilize it just once.

The beginning of line 117 is as follows: 3816798532621837063223417261854144875532

Group the above digits into two-digit numbers. We get: 38,16,79,85,32,62,18,37,06,32,23,41,72,61,85,41,44,87,55,32,38167985326218

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The following three apartment complexes were chosen for in-depth interviews:

Fairington (16)Waterford Court (32)and Fowler(18)

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