Question

The amount of snow fall falling in a certian mountain range is normally distributed with a mean of 83 inches, and a standard deviation of 16 inches. What is the probability that the mean annual snowfall during 64 randomly picked years will exceed 85.8 inches?

Answer 1

Use this formula to find z:

z = (x - mean)/(sd/√n)

With your data:

z = (85.8 - 83)/(16/√64) = ?

Once you have the z-score, look at the z-table to determine your probability.

I hope this will help get you started.

Answer 2

.9192