You want to ask a sample of high school students the...

You want to ask a sample of high school students the question "How much do you trust information about health that you find on the Internet-a great deal, somewhat, not much, or not at all?" You try out this and other questions on a pilot group of 5 students chosen from your class. The class members are listed below. (a) Explain how you would use a line of Table $D$ to choose an SRS of 5 students from the following list. Explain your method clearly enough for a classmate to obtain your results. (b) Use line 107 to select the sample. Show how you use each of the digits. $$ \begin{array}{lllll} \hline \text { Anderson } & \text { Deng } & \text { Glaus } & \text { Nguyen } & \text { Samuels } \\ \text { Arroyo } & \text { De Ramos } & \text { Helling } & \text { Palmiero } & \text { Shen } \\ \text { Batista } & \text { Drasin } & \text { Husain } & \text { Percival } & \text { Tse } \\ \text { Bell } & \text { Eckstein } & \text { Johnson } & \text { Prince } & \text { Velasco } \\ \text { Burke } & \text { Fernandez } & \text { Kim } & \text { Puri } & \text { Wallace } \\ \text { Cabrera } & \text { Fullmer } & \text { Molina } & \text { Richards } & \text { Washburn } \\ \text { Calloway } & \text { Gandhi } & \text { Morgan } & \text { Rider } & \text { Zabidi } \\ \text { Delluci } & \text { Garcia } & \text { Murphy } & \text { Rodriguez } & \text { Zhao } \\ \hline \end{array} $$

You want to ask a sample of high school students the question "How much do you trust information about health that you find on the Internet-a great deal, somewhat, not much, or not at all?" You try out this and other questions on a pilot group of 5 students chosen from your class. The class members are listed below. (a) Explain how you would use a line of Table $D$ to choose an SRS of 5 students from the following list. Explain your method clearly enough for a classmate to obtain your results.
(b) Use line 107 to select the sample. Show how you use each of the digits. $$
\begin{array}{lllll}
\hline \text { Anderson } & \text { Deng } & \text { Glaus } & \text { Nguyen } & \text { Samuels } \\
\text { Arroyo } & \text { De Ramos } & \text { Helling } & \text { Palmiero } & \text { Shen } \\
\text { Batista } & \text { Drasin } & \text { Husain } & \text { Percival } & \text { Tse } \\
\text { Bell } & \text { Eckstein } & \text { Johnson } & \text { Prince } & \text { Velasco } \\
\text { Burke } & \text { Fernandez } & \text { Kim } & \text { Puri } & \text { Wallace } \\
\text { Cabrera } & \text { Fullmer } & \text { Molina } & \text { Richards } & \text { Washburn } \\
\text { Calloway } & \text { Gandhi } & \text { Morgan } & \text { Rider } & \text { Zabidi } \\
\text { Delluci } & \text { Garcia } & \text { Murphy } & \text { Rodriguez } & \text { Zhao } \\
\hline
\end{array}
$$

Key Concepts

Simple Random Sampling (SRS)

Simple Random Sampling is a fundamental sampling technique where every member of a population has an equal chance of being selected. This method relies on a random mechanism to avoid bias, ensuring that the sample accurately represents the entire population. In the context of the problem, SRS is used to select a group of students from a larger class without favoring any particular individual, making the findings generalizable to the class as a whole.

Random Digit Table

A Random Digit Table is a tool that contains a sequence of digits in which each digit appears to be randomly ordered. It is used to aid the process of randomization in sample selection. By using a line from the table, one can systematically choose items (or individuals) corresponding to numbers in the table, thereby simulating the randomness needed for a Simple Random Sample. The digits are used to index into a pre-numbered list of subjects, ensuring that each subject has an equal chance of being selected.

Transcript

00:02 Alright, so we want to randomly select some students so we can figure out how much they trust the health information that you find on the internet.

00:16 So when we're setting this up, we're going to first, maybe we're going to write, there we go, number students.

00:48 And actually, we should probably put in there something about the alphabetical list.

01:02 So the list you have is already in alphabetical order, but you always want to put that so that if somebody else were to go ahead and do this, then their numbers would be the same as your numbers.

01:13 So number the alphabetical list of students ' names from 0, 1, to 40.

01:27 Okay? we're doing 0, 1, to 40 because we have at least two digits and we're using the number table.

01:36 When you're using the number table, you have to have the same number of digits for all of them.

01:40 So that's the first thing you want to say.

01:43 Then the second thing is that we're going to choose a line from the number table, i'm going to abbreviate a little bit here, and select two digits at a time.

02:11 And then you need to make sure, moving left to right.

02:38 All right? now you need to make sure that you say that we're only going to use these numbers and we're only going to use these numbers once.

02:45 So we're going to skip any numbers outside of 0, 1, 2, 4, 0, and any repeats.

03:18 And let me just, whoops, skip any repeats.

03:32 Let's actually, maybe we can fit this in here.

03:38 Continue until you have five students.

03:46 Now i would suggest if you are turning this into a teacher, you should make sure these are all complete sentences.

03:58 I've kind of just sketched out how you would go through and do it.

04:03 Five students.

04:05 And don't use any abbreviations like i did.

04:08 Okay.

04:09 So the basic gist is you're going to number the students ' last names from 0, 1 to 40.

04:15 Make sure it is the alphabetical list.

04:18 So number the alphabetical list of students ' last names from 0, 1 to 4, 0.

04:24 Choose a line from the number table and select two digits at a time, moving left to right.

04:28 Skip any numbers outside of 0, 1 to 40...

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