Question

Determine whether the given value is a statistic or a parameter. A homeowner measured the voltage supplied to his home on 27 days of a given month​, and the average​ (mean) value is 105.2 volts. Choose the correct answer below. A. The given value is a statistic for the month because the data collected represent a sample. B. The given value is a parameter for the month because the data collected represent a sample. C. The given value is a parameter for the month because the data collected represent a population. D. The given value is a statistic for the month because the data collected represent a population.

Answer 1

A. The given value is a statistic for the month because the data collected represent a sample.

Explanation:

If we define the random variable X as the voltage supplied to his home in a day of a given month, we can take different samples of different sizes. In this case, we have a sample of size 27
`X_(1), X_(2), ..., X_(27)` and the function of the sample
`f(X_(1), X_(2), ..., X_(27))=(1)/(27)\sum_(i=1)^(27)X_(i)`, this function gave us a value of 105.2 volts. Therefore the given values is a statistic for the month because the data collected represent a sample.