The ages of the winners of a cycling tournament are approximately bell-shaped. The mean age is...

Transcribed Image Text:

The ages of the winners of a cycling tournament are approximately bell-shaped. The mean age is 27.9 years, with a standard deviation of 3.3 years. The winner in one recent year was 23 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. z=-1.48 (Type an integer or decimal rounded to two decimal places as needed.) (b) Interpret the results. An age of 23 is 1.48 standard deviation(s) above 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. Yes, this value is unusual. A z-score between -2 and 2 is unusual. OB. No, this value is not unusual. A z-score outside of the range from -2 to 2 is not unusual. C. Yes, this value is unusual. A z-score outside of the range from -2 to 2 is unusual. D. No, this value is not unusual. A z-score between -2 and 2 is not unusual. 55 65 Heart Rate (beats per minute) 80 85 Without performing any calculations, determine which measure of central tendency best represents the graphed data. Explain your reasoning. Frequency Heart Rates of a Sample of Adults 50 40- 30- 20- 10- Choose the correct answer below. OA. The median is the best measure because the data are skewed. B. The mean is the best measure because the data are at the nominal level of measurement. O C. The mean is the best measure because there are outliers and the data is skewed. D. The mode is the best measure because the data are approximately symmetric. The ages of the winners of a cycling tournament are approximately bell-shaped. The mean age is 27.9 years, with a standard deviation of 3.3 years. The winner in one recent year was 23 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. z=-1.48 (Type an integer or decimal rounded to two decimal places as needed.) (b) Interpret the results. An age of 23 is 1.48 standard deviation(s) above 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. Yes, this value is unusual. A z-score between -2 and 2 is unusual. OB. No, this value is not unusual. A z-score outside of the range from -2 to 2 is not unusual. C. Yes, this value is unusual. A z-score outside of the range from -2 to 2 is unusual. D. No, this value is not unusual. A z-score between -2 and 2 is not unusual. 55 65 Heart Rate (beats per minute) 80 85 Without performing any calculations, determine which measure of central tendency best represents the graphed data. Explain your reasoning. Frequency Heart Rates of a Sample of Adults 50 40- 30- 20- 10- Choose the correct answer below. OA. The median is the best measure because the data are skewed. B. The mean is the best measure because the data are at the nominal level of measurement. O C. The mean is the best measure because there are outliers and the data is skewed. D. The mode is the best measure because the data are approximately symmetric.