Question

The living spaces of all homes in a city have a mean 2550 of square feet and a standard deviation of 300 square feet. Let (x) be the mean living space for a random sample of 30 homes selected from this city.

Find the mean of the sampling distribution of (x) .

Enter an exact answer.

mean of (x)= ????? square feet

Find the standard deviation of the sampling distribution of (x).

Round your answer to one decimal place.

standard deviation of (x)= ????? square feet

Answer 1

Solution :

Given that,

mean = = 2550 square feet

standard deviation = = 300 square feet

n = 30

mean = = 2550 square feet

standard deviation = = / n = 300 / 30 = 54.8 square feet.