The ages of the winners of a cycling tournament are approximately bell shaped. T

Question

The ages of the winners of a cycling tournament are approximately bell shaped. The mean age is 28.4 years, with a standard deviation of 3.4 years, The winner in one recent year was 27 years old. (a) Transform the age to a z-score. (Type an integer or decimal rounded to two decimal places as needed.) (b) Interpret the results. An age of 27 is about standard deviation(s) the mean. (Type an integer or decimal rounded to two decimal places as needed.) (c) Determine whether the age is unusual. Choose the correct answer below. A. Yes, this value is unusual. A z-score outside of the range from 2 to 2 is unusual. B. No, this value is not unusual. A z-score between -2 and 2 is not unusual. C. No, this value is not unusual. A z-score outside of the range from -2 to 2 is not unusual. D. Yes, this value is unusual. A z-score between -2 and 2 is unusual.

Explanation / Answer

(a) z = (27 - 28.4)/3.4 = -0.41

(b) At age of 27 is about 0.41 standard deviations less(left) of the mean.

(c) B. No this value is not unusual. A z-score between -2 and 2 is not unusual.

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