Posted by **Sarah** on Wednesday, October 26, 2011 at 11:34am.

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

per semester?

(c) What is the probability that a random sample of 50 students spends an average of less than

$1500?

(d) What is the probability that a random sample of 50 students spends an average of $1450 to

$1600 per semester?

- statistics -
**PsyDAG**, Thursday, October 27, 2011 at 12:04am
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.

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