In which month is it more unusual to have a day with a high temperature of 55°​? Explain.

Question

A​ town's January high temperatures average 37°F with a standard deviation of 10°​, while in July the mean high temperature is 77° and the standard deviation is 10°. In which month is it more unusual to have a day with a high temperature of 55°​? 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 55° in January. A high temperature of 55° in January is ________ standard deviations above the mean and a high temperature of 55° in July is only _______ standard deviations below the mean.

OR

B) It is more unusual to have a day with a high temperature of 55° in July. A high temperature of 55° in July is ______ standard deviations below the mean and a high temperature of 55° in January is only ______ standard deviations above the mean.

Answer 1

January, on the left, shows that 55 is 1.8 standard deviations above the mean: (55 - 37)/10

July, on the right, shows that 55 is 2.2 standard deviations below the mean: (77 - 55)/10

So, the probability is higher that 55 degrees can occur in January