7
QuizMultiple Choice

Introduction to Sampling Distributions

Question 7 • NC-Math 4

A random sample of 50 bottles is selected from the production line of a large manufacturing company. The mean of the contents of the 50 bottles is 20.25 ounces. The manager of the company requests that the machines be recalibrated because bottles coming off the production line are supposed to contain 20 ounces. Which of the following statements is true?

Answer
A
20 is a statistic and 20.25 is a statistic.
B
20 is a statistic and 20.25 is a parameter.
C
20 is a parameter and 20.25 is a statistic.
D
20 is a parameter and 20.25 is a parameter.

Explanation

A parameter describes an entire population, while a statistic is calculated from a sample. The intended amount of 20 ounces describes the production line’s target for all bottles, so it is a parameter. The mean of 20.25 ounces was calculated from the sample of 50 bottles, so it is a statistic. Therefore, the true statement is “20 is a parameter and 20.25 is a statistic.”

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