Question

epresentative Samples
Consider the statements:

I. Each individual in the population has an equal chance of being selected.

II. The sample is selected using some process that involves chance.

III. Random sampling tends to produce samples representative of the population.
Which statements are TRUE about random sampling?
A I and II only
B I and III only
C II and III only
D I, II, and III
A high school principal wants to determine, on a scale of 1 to 10, how much the students at his high school like math class. Which sample is MOST LIKELY to represent all of the students in the high school?
A 25 students on the math team.
B 25 students who earned high grades in their math classes last year.
C 25 students that were picked out of hat with names of all the students.
D 25 students who failed their math classes last year.
.
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Answer 1

1) D — I, II, and III. All three statements describe true properties of random sampling (each individual having an equal chance, selection involving chance, and that random samples tend to be representative, though not guaranteed).

2) C — 25 students picked out of a hat with names of all the students. This is a simple random sample and is most likely to be representative of the whole school.