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Question
#1 which of the following best defines the meaning of the term: \population\ ?
(a) an entire group of people, objects, or entities of interest to you.
(b) a part or portion of an entire group of people, objects, or entities.
(c) a numerical measurement (e.g. mean) calculated from a sample.
(d) a numerical measurement (e.g. mean) calculated from a population.
(e) none of the above.
#2 which of the following best defines the meaning of the term: \sample\ ?
(a) an entire group of people, objects, or entities of interest to you.
(b) a part or portion of an entire group of people, objects, or entities.
(c) a numerical measurement (e.g. mean) calculated from a sample.
(d) a numerical measurement (e.g. mean) calculated from a population.
(e) none of the above.
#3 which of the following best defines the meaning of the term: \parameter\ ?
(a) an entire group of people, objects, or entities of interest to you.
(b) a part or portion of an entire group of people, objects, or entities.
(c) a numerical measurement (e.g. mean) calculated from a sample.
(d) a numerical measurement (e.g. mean) calculated from a population.
(e) none of the above.
Question #1
To define "population" in statistics, we recall that a population is the entire group of interest (people, objects, entities). Option A matches this definition. Option B is a sample, C is a statistic, D is a parameter, so A is correct.
A "sample" is a subset (part/portion) of the population. Option B describes this. Option A is population, C is statistic, D is parameter, so B is correct.
A "parameter" is a numerical measurement (like mean) calculated from the entire population. Option D is a statistic (from sample), so D is incorrect. Option C matches the definition of a parameter. Wait, correction: Option D is statistic (sample), Option C: Wait, no—parameter is from population. So Option D is statistic (sample), Option C: Wait, the options: Option C is "A numerical measurement (e.g. mean) calculated from a sample" (that's statistic), Option D is "A numerical measurement (e.g. mean) calculated from a population"—so D is parameter. Wait, I made a mistake earlier. Let's recheck: Parameter is a numerical summary of the population. So Option D: "A numerical measurement (e.g. mean) calculated from a population" is correct. Wait, the options:
Option C: "A numerical measurement (e.g. mean) calculated from a sample" – that's a statistic.
Option D: "A numerical measurement (e.g. mean) calculated from a population" – that's a parameter. So D is correct.
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A. An entire group of people, objects, or entities of interest to you.