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30 June, 07:41

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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  1. 30 June, 08:00
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    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
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