Question

question 7 of 10
suppose a population consists of 5000 people. which of the following
numbers of members of the population being surveyed could result in a
sample statistic but not a parameter?

a. both 50 and 5000

b. 50

c. 5000

d. neither 50 nor 5000

Explanation:

1. Recall the definitions: A parameter is a characteristic of the entire population, and a sample statistic is a characteristic of a sample (a subset of the population).
2. Analyze each option:

• Option A: 5000 is the entire population, so it's a parameter, not just a sample statistic. So A is incorrect.
• Option B: 50 is a subset (sample) of the 5000 - person population. A sample statistic is calculated from a sample, and since 50 is not the entire population, it can be a sample statistic. It is not a parameter because a parameter is for the whole population (5000 here).
• Option C: 5000 is the entire population, so any measure from it is a parameter, not a sample statistic (since a sample statistic requires a sample, not the whole population).
• Option D: Since B is correct, D is incorrect.

Answer:

B. 50