Question

A researcher measures water drawn from 52 points a city's system in order to check the claim that the average lead content in the city's water is no more than 7 micrograms per deciliter. She finds an average of 5 micrograms per deciliter. Please match each of these terms:

a. Population
b. Sample
c. Parameter
d. Statistic

1. the 52 water draws
2. 7 micrograms per deciliter
3. 5 micrograms per deciliter
4. 7/52 lead measurements

Answer 1

Answer:

a. Population -  1. the 52 water draws

b. Sample -  4. 7/52 lead measurements

c. Parameter -   2. 7 micrograms per deciliter

d. Statistic -  3. 5 micrograms per deciliter

Step-by-step explanation:

If the value is from a population, it is a parameter.

Otherwise, if the value is from a sample, it is a statistic.

A population is an entire group of people, or of something, while a sample is a small number of observations from this group.

In this question:

The entire population is the measures drawn from the 52 points in the city's system.

In the entire system, the average is no more than 7 micrograms per deciliter. This is a value from the entire population, so this is a parameter.

To found the average of 5 micrograms, she took 7 of these measurements. So the 7 measurements are the sample and the average os 5 micrograms is a statistic.

So the correct matching is:

a. Population -  1. the 52 water draws

b. Sample -  4. 7/52 lead measurements

c. Parameter -   2. 7 micrograms per deciliter

d. Statistic -  3. 5 micrograms per deciliter