Question

The amount of snowfall falling in a certain mountain range is normally distributed with a mean of 94 inches and a standard deviation of 14 inches. what is the probability that the mean annual snowfall during 49 randomly picked years will exceed 96.8 inches?

Answer 1

The answer is 0.0808, according to online sources

Answer 2

We use the z statistic which has the formula:

z = (x – u) / s

where x = 96.8 or more, u is the population mean = 94 inches, s is std dev = 14 inches

z = (96.8 – 94) / 14

z = 0.2

Using right tailed test, the P value taken from the normal tables is:

P = 0.4207