A club has 30 student members and 10 faculty members. The...

A club has 30 student members and 10 faculty members. The students are Abel Fisher Huber Miranda Reinmann Carson Ghosh Jimenez Moskowitz Santos Chen Griswold Jones Neyman Shaw David Hein Kim O’Brien Thompson Deming Hernandez Klotz Pearl Utts Elashoff Holland Liu Potter Varga The faculty members are Andrews Fernandez Kim Moore West Besicovitch Gupta Lightman Phillips Yang The club can send 4 students and 2 faculty members to a convention. It decides to choose those who will go by random selection. How will you label the two strata? Use Table D, beginning at line 123, to choose a stratified random sample of 4 students and 2 faculty members.

A club has 30 student members and 10 faculty members. The students are

Abel Fisher Huber Miranda Reinmann
Carson Ghosh Jimenez Moskowitz Santos
Chen Griswold Jones Neyman Shaw
David Hein Kim O’Brien Thompson
Deming Hernandez Klotz Pearl Utts
Elashoff Holland Liu Potter Varga

The faculty members are

Andrews Fernandez Kim Moore West
Besicovitch Gupta Lightman Phillips Yang

The club can send 4 students and 2 faculty members to a convention. It decides to choose those who will go by random selection. How will you label the two strata? Use Table D, beginning at line 123, to choose a stratified random sample of 4 students and 2 faculty members.

Key Concepts

Random Number Table

A pre-arranged set of numbers that are generated in a random manner. It is used as a tool in random selection processes, enabling the unbiased selection of samples by matching entries with positions on the table.

Random Selection

A technique used to ensure every member of a given population has an equal chance of being chosen, helping to avoid bias in the sample. This process is essential for obtaining representative data from each stratum.

Stratified Sampling

A method where the population is divided into distinct subgroups or strata based on shared characteristics, and random samples are drawn from each, ensuring representation from all subgroups. This helps in increasing the precision of the overall results.

Strata Labeling

The process of identifying and naming the subgroups within a population. In this context, the two strata are the students and the faculty members, each forming a separate homogeneous subgroup for the purpose of sampling.

Transcript

00:01 Okay, what we want to do is we want to walk through the process of being able to use a table d or be, depending on your textbook, the random digit table to do some random selections.

00:14 And so we're told that a club has 30 student members, and they give you the list of the 30 last names.

00:27 And it also has 10 faculty members.

00:32 And once again, it's given a list of faculty members, their last names.

00:38 And the club can actually can send only four students and two faculty members to a convention.

01:02 And how are we going to do a random, selection to be able to determine who goes to that convention.

01:11 Okay, so what i propose to do is we are actually going to let the number zero zero to 29 be your student members.

01:32 And we're actually going to let zero zero be, and we're just going to do it in the order in which the last names were told.

01:42 So is able.

01:46 Zero one is fisher.

01:52 Zero two is, i think it was like cube or something like that.

01:58 And we're just going to keep going to list all 29.

02:05 30 to 99 are skips.

02:10 So if we hit one of those, we're going to skip them.

02:14 Okay.

02:16 And then we're also going to, because it's stratified, we're going to then let, for a second round, 0 to 9 be faculty member.

02:35 And you could do 0 is andrews.

02:43 One is fernandez.

02:49 Two is kim and etc...

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