6.31 April precipitation Over roughly the past 100 years, the mean monthly April precipitation in Williamstown, Massachusetts,

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6.31 April precipitation Over roughly the past 100 years, the mean monthly April precipitation in Williamstown, Massachusetts, equaled 3.6 inches with a standard deviation of 1.6 inches. (Source: http://web.williams.edu/

weather/)

a. In April 1983, the wettest April on record, the precipitation equaled 8.4 inches. Find its z-score. If the distribution of precipitation were roughly normal, would this be unusually high? Explain.

b. Assuming a normal distribution, an April precipitation of 4.5 inches corresponds to what percentile?

c. Of the 119 measurements of April precipitation on record (reaching as far back as 1892), 66.5% fell within one, 97.5% within two, and 99.1% within three standard deviations of the mean. Do you think that the distribution of April precipitation is approximately normal? Why or why not?

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Statistics The Art And Science Of Learning From Data

ISBN: 9781292164878

4th Global Edition

Authors: Alan Agresti, Christine A. Franklin, Bernhard Klingenberg

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