The average temperature during winter is found to be 46 degrees Fahrenheit with a standard deviation of 9 degrees Fahrenheit. During the summer, the mean temperature is 75 degrees Fahrenheit with a standard deviation of 8 degrees Fahrenheit. In which season would it be more unusual to have a temperature of 59 degrees Fahrenheit?

A. Summer because the z-score is closer to zero than for winter.
B. Winter because the z-score is closer to zero than for summer.
C. Winter because the z-score is farther away from zero than for summer.
D. Summer because the z-score is farther away from zero than for winter.

To determine in which season it would be more unusual to have a temperature of 59 degrees Fahrenheit, we compare the z-scores. A temperature of 59 degrees Fahrenheit would be more unusual in summer because the magnitude of the z-score is greater.

Explanation:

To determine in which season it would be more unusual to have a temperature of 59 degrees Fahrenheit, we need to compare the z-scores for both seasons. The z-score measures how many standard deviations a particular value is from the mean. For winter, the z-score can be calculated as (59 - 46) / 9 = 1.44, and for summer, the z-score can be calculated as (59 - 75) / 8 = -2.

Since the magnitude of the z-score for summer is greater than that of winter, it means that a temperature of 59 degrees Fahrenheit is farther away from the mean temperature in summer than in winter. Therefore, it would be more unusual to have a temperature of 59 degrees Fahrenheit in summer.

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