Sampling Methods Quiz

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Questions and Answers

Explain the difference between a stratified sample and a cluster sample.

In a stratified sample, random samples from each strata are included. In a cluster sample, the clusters to be included are selected at random and then all members of each selected cluster are included.

Explain the difference between a simple random sample and a systematic sample.

In a simple random sample, every sample of size n has an equal chance of being included. In a systematic sample, the only samples possible are those including every kth item from the random starting position.

Does every student have an equal chance of being selected for the sample?

Yes, your seating location ensures an equal chance of being selected.
No, your seating location does not ensure an equal chance of being selected.
No, the coin flip does not ensure an equal chance of being selected.
Yes, your seating location and the randomized coin flip ensure equal chances of being selected. (correct)

Is it possible to include students sitting in row 3 with students sitting in row 2 in your sample?

No, it is not possible with this described method of selection. (A) Signup and view all the answers

Is your sample a simple random sample?

No, this is not a simple random sample. It is a cluster sample. (D) Signup and view all the answers

Describe a process you could use to get a simple random sample of size 20 from a class of size 40.

Assign each student a number 1, 2,..., 40 and use a computer or a random-number table to select 20 students. (B) Signup and view all the answers

How could you get a random sample of four students from your statistics class? (Select all that apply.)

Use a computer or random-number table to randomly select four students after numbers are assigned. (B) Signup and view all the answers

Why would the first four students walking into the classroom not necessarily form a random sample? (Select all that apply.)

Perhaps they are students that needed less time to get to class. (A), Perhaps they are students that had a class immediately prior to this one. (B), Perhaps they are excellent students who make a special effort to get to class early. (C), Perhaps they are students with lots of free time and nothing else to do. (E) Signup and view all the answers

Why would four students coming in late not necessarily form a random sample? (Select all that apply.)

Perhaps they are busy students who are never on time to class. (A), Perhaps they are students that had a prior class go past scheduled time. (B), Perhaps they are lazy students that don't want to attend class. (C), Perhaps they are students that need more time to get to class. (D) Signup and view all the answers

Why would four students sitting in the back row not necessarily form a random sample? (Select all that apply.)

Perhaps students in the back row came to class late. (A), Perhaps students in the back row are introverted. (C), Perhaps students in the back row do not pay attention in class. (D) Signup and view all the answers

Why would the four tallest students not necessarily form a random sample? (Select all that apply.)

Perhaps tall students generally are healthier. (B), Perhaps tall students generally are athletes. (C), Perhaps tall students generally sit together. (D), Perhaps tall students generally attend more classes. (E) Signup and view all the answers

What are examples of population members that might have been omitted if you use the sampling frame of students present next Monday?

Students who are on a school trip cannot be sampled. (A), Students who are skipping class cannot be sampled. (B), Students who are out sick cannot be sampled. (E) Signup and view all the answers

What are examples of population members that might have been omitted if you use the student roster of the high school as the sampling frame?

Dropouts cannot be sampled. (B), Home-schooled students cannot be sampled. (C) Signup and view all the answers

Study Notes