Question

Determine whether the given value is a statistic or a parameter. A homeowner measured the voltage supplied to his home on one day a week for a given year on one day a week for a given year​, and the average​ (mean) value is 144.3 volts. Choose the correct answer below. A. The given value is a parameter parameter for the year year because the data collected represent a population population. B. The given value is a parameter parameter for the year year because the data collected represent a sample sample. C. The given value is a statistic statistic for the year year because the data collected represent a sample sample. D. The given value is a statistic statistic for the year year because the data collected represent a population population.

Answer 1

Answer:

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

Correct. The value reported is an statistic since represent a SAMPLE of the population of interest.

Step-by-step explanation:

The sample mean obtained was :

$\bar X =\frac{\sum_{i=1}^n X_i}{n}= 144.3$

A. The given value is a parameter parameter for the year year because the data collected represent a population population.

False. The data colected represent a sample of the population of interest, so for this case is not a parameter because we don't have the information about all the population of interest.

B. The given value is a parameter parameter for the year year because the data collected represent a sample sample.

False. First the sample average is not a parameter, and second the population mean is not equal to the sample mean most of the times.

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

Correct. The value reported is an statistic since represent a SAMPLE of the population of interest.

D. The given value is a statistic statistic for the year year because the data collected represent a population.

False. If is an statistic can't represent the population, since the parameter represent the population not the statistic.