Determine whether the given value is a statistic or a parameter. A homeowner measured the voltage supplied to his home on 42 random days, and the average (mean) value is 127.1 volts. A) The given value is a statistic for the year because the data collected represented a population. B) The given value is a parameter for the year because the data collected represent a sample.
C) The given value is a parameter for the year because the data collected represent a population.
D) The given value is a statistic for the year because the data collected represent a sample.

And for this case the sample mean is

And this value is calculated from a sample so then can't represent a population parameter. Then the value 127.1 represent a statistic called the sample mean unbiased for the true population mean since , and the best option would be:

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

Step-by-step explanation:

For this case we know that a homeowner take a random sample of 42 voltage values ina year and he calculate the sample mean with this formula:

And for this case the sample mean is

And this value is calculated from a sample so then can't represent a population parameter. Then the value 127.1 represent a statistic called the sample mean unbiased for the true population mean since , and the best option would be:

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

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2

the answer

b. they are parallel and will never intersect.