In: Statistics and Probability
A report announced that the median sales price of new houses sold one year was $231,000, and the mean sales price was $274,200. Assume that the standard deviation of the prices is $90,000. Complete parts (a) through (d) below. f you select a random sample of n=100, what is the probability that the sample mean will be between $275,000 and $295,000? The probability that the sample mean will be be between $275, 000 and $295,000 is what?
µ = 274200
sd = 90000
n = 100
= P(0.09 < Z < 2.31)
= P(Z < 2.31) - P(Z < 0.09)
= 0.9896 - 0.5359
= 0.4537