Question

Home sizes in Anytown, USA have a mean of 2400 square feet and a standard deviation of 450 square feet. What is the probability that a random sample of 50 homes in Anytown, USA has mean square footage less than 2200 square feet

Answer 1

Answer:

0.00084

Step-by-step explanation:

We are given that

Mean,$\mu=2400$ square feet

Standard deviation, $\sigma=450$square feet

n=50

We have to find the probability that a random sample of 50 homes in Anytown, USA has mean square footage less than 2200 square feet.

$P(x$

$P(x$

Using the formula

$z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}$

$P(x$

$P(X$

Hence, the probability that a random sample of 50 homes in Anytown, USA has mean square footage less than 2200 square feet=0.00084