Answer to Question #316430 in Statistics and Probability for Bless

Question

Living Space of Homes As reported by the Ghana Statistical Service. The mean living space for

single-family detached homes is 1742 sq. ft.

Assume a standard deviation of 568 sq. ft.

a. For samples of 25 single-family detached homes, determine the mean and standard deviation of the

variable

b. Repeat part (a) for a sample of size 500

Answer 1

$a:\\\mu _{\bar{x}}=\mu =1742\\\sigma _{\bar{x}}=\frac{\sigma}{\sqrt{n}}=\frac{568}{\sqrt{25}}=113.6\\b:\\\mu _{\bar{x}}=\mu =1742\\\sigma _{\bar{x}}=\frac{\sigma}{\sqrt{n}}=\frac{568}{\sqrt{500}}=25.4017$