You are planning a report on apartment living in a college...

You are planning a report on apartment living in a college town. You decide to select three apartment complexes at random for indepth 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. $$ \begin{array}{llll} \hline \text { Ashley 0aks } & \text { Chauncey Village } & \text { Franklin Park } & \text { Richfield } \\ \text { Bay Pointe } & \text { Country Squire } & \text { Georgetown } & \text { Sagamore Ridge } \\ \text { Beau Jardin } & \text { Country View } & \text { Greenacres } & \text { Salem Courthouse } \\ \text { Bluffs } & \text { Country Villa } & \text { Lahr House } & \text { Village Manor } \\ \text { Brandon Place } & \text { Crestview } & \text { Maytair Village } & \text { Waterford Court } \\ \text { Brianwood } & \text { Del-Lynn } & \text { Nobb Hill } & \text { Williamsburg } \\ \text { Brownstone } & \text { Fairington } & \text { Pemberly Courts } & \\ \text { Burberry } & \text { Fairway Knolls } & \text { Peppermill } & \\ \text { Cambridge } & \text { Fowler } & \text { Pheasant Run } & \\ \hline \end{array} $$

You are planning a report on apartment living in a college town. You decide to select three apartment complexes at random for indepth 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.
$$
\begin{array}{llll}
\hline \text { Ashley 0aks } & \text { Chauncey Village } & \text { Franklin Park } & \text { Richfield } \\
\text { Bay Pointe } & \text { Country Squire } & \text { Georgetown } & \text { Sagamore Ridge } \\
\text { Beau Jardin } & \text { Country View } & \text { Greenacres } & \text { Salem Courthouse } \\
\text { Bluffs } & \text { Country Villa } & \text { Lahr House } & \text { Village Manor } \\
\text { Brandon Place } & \text { Crestview } & \text { Maytair Village } & \text { Waterford Court } \\
\text { Brianwood } & \text { Del-Lynn } & \text { Nobb Hill } & \text { Williamsburg } \\
\text { Brownstone } & \text { Fairington } & \text { Pemberly Courts } & \\
\text { Burberry } & \text { Fairway Knolls } & \text { Peppermill } & \\
\text { Cambridge } & \text { Fowler } & \text { Pheasant Run } & \\
\hline
\end{array}
$$

Key Concepts

Simple Random Sampling (SRS)

Simple Random Sampling is a method where each member of a population has an equal chance of being selected. It ensures that the sample is representative of the population without bias, which is key in statistical studies and data analysis. In practice, researchers assign each unit a unique identifier and then choose the sample using a random mechanism.

Random Digit Tables

Random digit tables are pre-assembled collections of digits that have been generated in such a way as to be statistically random. They are used in the selection process by matching groups of digits to numbered units in a population. This ensures that the selection process is free from systematic bias and maintains the randomness necessary for an SRS.

Mapping Numbers to Population Units

Mapping random numbers to population units involves assigning each unit a number and then using the digits from a random source to select those numbers. This process may require reading digits sequentially and grouping them properly, as well as rejecting any groups of digits that fall outside the range of the numbered list. This step is crucial to ensure that every unit in the population has a proper chance of being included in the sample.

Transcript

00:01 In question 12, so you're planning to report on apartment living in a college town, and you decide to select three apartment complexes at random for an in -depth interviews with residents.

00:12 So you have a total of 33 apartments that you can choose from, and essentially you want to choose three of them to do an in -depth report on.

00:20 In part a, we're asked to explain how we would use a line of table d, which is a table of random digits, to choose a simple random sample of three complexes from the list.

00:30 And the list, there's 33.

00:32 They're listed alphabetically.

00:34 And we're going to number them 1 through 33 in the same form.

00:40 So the very first apartment that's alphabetically listed is going to be the first apartment that's numerically assigned value number one.

00:49 So i've paused the recording so i could write this.

00:52 So you wouldn't have to watch me write the entire problem.

00:58 But we can go over this.

01:01 Whenever you're asked to go over and describe how you would use, at table d or table of random digits, you have to describe the process in such detail that whoever can read your answer can also copy your same method and get the same results as you.

01:17 Since there are 33 apartments, assign each one a number between 0 -1 and 33.

01:22 Because 33 is a two -digit number, we need to make every single value here a two -digit number so they have the same width when we're choosing in the table of random digits.

01:29 So we're going to make values 1 through 9, 2 -0 -0 -0 -0 -2, all the way through 0 .9.

01:35 So all the numbers are assigned between 0 1 and 33.

01:39 They're also, they're going to match our list that's in our textbook.

01:43 Moving left to right on table d, look at each two -digit value.

01:47 If the value is within the range 0 -1 through 33, we're going to select the number and continue until two other values between 0 -1 and 33 are selected.

01:56 We have to mention what do we do with a value that's not in our range and a value that's repeated.

02:00 So we're going to say that next, skip repeated numbers...

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