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

Answer:

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

Step-by-step 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  $f(X_{1}, X_{2}, ..., X_{27})=\frac{1}{27}\sum_{i=1}^{27}X_{i}$, 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.