posted by Sarah on .
1. The on-campus housing costs for a semester at a state university are Normally distributed with
a mean of $1553 and a standard deviation of $329.
(a) What is the distribution of the mean on-campus housing cost for a semester at this university
for a random sample of 50 students?
(b) What is the probability that a randomly selected on-campus student spends more than $1200
(c) What is the probability that a random sample of 50 students spends an average of less than
(d) What is the probability that a random sample of 50 students spends an average of $1450 to
$1600 per semester?
a. By distribution, do you mean the Standard Error of the mean (SEm)?
SEm = SD/√(n-1)
b. Z = (score-mean)/SD
Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportion related to your Z score.
c, d. Use same equation above, except substitute SEm for SD.