The ages of the winners of a cycling tournament are approximately bell-shaped. The mean age is 27.8 years, with a standard deviation of 3.5 years. The winner in one recent year was 33 years old. (a) Transform the age to a z-score. (b) Interpret the results. (c) Determine whether the age is unusual. (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 33 is 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. O A. No, this value is not unusual. A z-score outside of the range from - 2 to 2 is not unusual. O B. Yes, this value is unusual. A z-score between -2 and 2 is unusual. O C. Yes, this value is unusual. A z-score outside of the range from -2 to 2 is unusual. O D. No, this value is not unusual. A z-score between - 2 and 2 is not unusual.

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The ages of the winners of a cycling tournament are approximately bell-shaped. The mean age is 27.8 years, with a standard deviation of 3.5 years. The winner in one
recent year was 33 years old.
(a) Transform the age to a z-score.
(b) Interpret the results.
(c) Determine whether the age is unusual.
(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 33 is
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.
O A. No, this value is not unusual. A z-score outside of the range from - 2 to 2 is not unusual.
B. Yes, this value is unusual. A z-score between - 2 and 2 is unusual.
O C. Yes, this value is unusual. A z-score outside of the range from - 2 to 2 is unusual.
O D. No, this value is not unusual. A z-score between - 2 and 2 is not unusual.
Transcribed Image Text:The ages of the winners of a cycling tournament are approximately bell-shaped. The mean age is 27.8 years, with a standard deviation of 3.5 years. The winner in one recent year was 33 years old. (a) Transform the age to a z-score. (b) Interpret the results. (c) Determine whether the age is unusual. (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 33 is 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. O A. No, this value is not unusual. A z-score outside of the range from - 2 to 2 is not unusual. B. Yes, this value is unusual. A z-score between - 2 and 2 is unusual. O C. Yes, this value is unusual. A z-score outside of the range from - 2 to 2 is unusual. O D. No, this value is not unusual. A z-score between - 2 and 2 is not unusual.
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