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Using a college cost estimator, the average of campus rental at Penn State is approximately $547...

Using a college cost estimator, the average of campus rental at Penn State is approximately $547 per month. Suppose these rates are roughly normal with a standard deviation of $100. Say you take a random sample of 25 students living off campus.

A) (5 points) What would be the mean and standard error for the distribution of the sample mean?

B) (5 points) What is the probability that the sample mean would be at least $600?

C) (5 points)What is the probability that the rent for a randomly selected student would be at least $600?

C) (5 points) Explain the reason for discrepancy between the two probabilities you calculated in parts (B) and  (C).

Math   Statistics-And-Probability   
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