Problem

The mean monthly temperature for September at a weather station is found to be normally di...

The mean monthly temperature for September at a weather station is found to be normally distributed. The mean is 65.5°F, the variance is 39.3°F2, and the record is complete for 63 years. With the aid of Table B.1, find (a) the midrange within which two-thirds of all future mean monthly values are expected to fall, (b) the midrange within which 95% of all future values are expected, (c) the limit below which 80% of all future values are expected, and (d) the values that are expected to be exceeded with a frequency of once in 10 years and once in 100 years. Verify the results by plotting the cumulative distribution on normal probability paper.

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