The average high temperature on April 15 is 75 degrees with a standard deviation

Question

The average high temperature on April 15 is 75 degrees with a standard deviation of 5 degrees. The high temperature on April 15 this year was 59 degrees. Was the high temperature on April 15 unusually low this year?

(a) Yes, because 59 degrees is more than 3 standard deviations below average.

(b) Yes, because 59 degrees is 16 standard deviations below average.

(c) No, because 59 degrees is more than 3 standard deviations above average.

(d) No, because 59 degrees is not that far below average.

(e) No, because 59 degrees is far below average.

Explanation / Answer

(a) Yes, because 59 degrees is more than 3 standard deviations below average.

59<75-15

because 99% C.I is 3 standard deviations

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