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?

Question

Mathematics

Xander Gates

19 August, 08:29

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?

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Stephen · Answer 1

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