Question

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 following list.

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

Short answer

a. Number the $33$complexes from $01$to $33$alphabetically.

b. Starting at line $117$we read off the following numbers: $38$(ignore) $1679$(ignore) $85$(ignore) $3262$(ignore) $18$

Step-by-step solution

Part (a) Step 1 : Given information

No. of apartment complex , $n=3$

We have to choose an SRS of $3$apartment complex from the given list apartment complex name:

Part (a) Step 2 : Simplification

Number the $33$complexes from $01$to $33$alphabetically. Go to the random number table, choose a starting point (any line, such as line $117$) and recorded $2$digit numbers until you have $3$unique numbers between $01$and $33$, ignoring repeats, $00$, and $31-99$.

Part (b) Step 1 : Given information

We have to use line 117 to select the sample to show how we have used each of the digits from the following table :

Part (b) Step 2 : Simplification

Starting at line $117$we read off the following numbers: $38$(ignore) $16$$79$(ignore) $85$(ignore) $3262$(ignore) $18$. So we have picked: Fairington ($16$), Waterford Court ($32$) and Fowler ($18$)