Question

determine whether the given value is a statistic or a parameter. a homeowner measured the voltage supplied to his home on 314 days of a given year, and the average (mean) value is 124.2 volts. choose the correct answer below. a. the given value is a parameter for the year because the data collected represent a population. b. the given value is a statistic for the year because the data collected represent a population. c. the given value is a statistic for the year because the data collected represent a sample. d. the given value is a parameter for the year because the data collected represent a sample.

Explanation:

A parameter is a characteristic of a population, while a statistic is a characteristic of a sample. The homeowner measured the voltage on 314 days out of 365 (a year). Since 314 days is a subset of all the days in a year (a sample of the population of all days in the year), the average value calculated from this sample data is a statistic.

Answer:

C. The given value is a statistic for the year because the data collected represent a sample.