A town\'s January high temperatures average 36 degreesF with a standard deviatio

Question

A town's January high temperatures average 36 degreesF with a standard deviation of 9 degrees, while in July the mean high temperature is 75 degrees and the standard deviation is 9 degrees. In which month is it more unusual to have a day with a high temperature of 54 degrees ? Explain. Select the correct choice below and fill in the answer boxes within your choice. (Round to three decimal places as needed.) A. It is more unusual to have a day with a high temperature of 54 degrees in July . A high temperature of 54 degrees in July is nothing standard deviations below the mean and a high temperature of 54 degrees in January is only nothing standard deviations above the mean. B. It is more unusual to have a day with a high temperature of 54 degrees in January . A high temperature of 54 degrees in January is nothing standard deviations above the mean and a high temperature of 54 degrees in July is only nothing standard deviations below the mean.

Explanation / Answer

For January, the mean is 36 and s is 9

For July, the mean is 75 and s is 9

z is calculated as (x-mean)/s

For January it is (54-36)/9 =1

For July, it is (54-75)/9=-2.33

higher the z value, more unsual is the event (in magnitude)

thus correct answer is A) (use the z values calculated above for blanks)

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