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MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Question
The ages of the winners of a cycling tournament are approximately bell-shaped. The mean age is
27.1
years, with a standard deviation of
3.7
years. The winner in one recent year was
31
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.
A) Z score
(Type an integer or decimal rounded to two decimal places as needed.)
(b) Interpret the results.
An age of
standard deviation(s)
the mean.
31
is aboutstandard deviation(s)
▼
above
below
(Type an integer or decimal rounded to two decimal places as needed.)
(c) Determine whether the age is unusual. Choose the correct answer below.
.Yes, this value is unusual.
A z-score outside of the range from minus 2 to 2 is unusual.outside of the range from −2 to 2 is unusual.
No, this value is not unusual.
A z-score
outside of the range from minus 2 to 2 is notoutside of the range from −2 to 2 is not
unusualYes, this value is unusual.
A z-score
between minus 2 and 2 is unusual.between −2 and 2 is unusual.
nothingNo, this value is not unusual.
A z-score between minus 2 and 2 is not unusual.Expert Solution
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- 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 3.8 years. The winner in one recent year was 34 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=_____ (Type an integer or decimal rounded to two decimal places as needed.) Part 2 (b) Interpret the results. An age of 34 is enter your response here standard deviation(s) ▼ aboveabove or belowbelow the mean. (Type an integer or decimal rounded to two decimal places as needed.) Part 3 (c) Determine whether the age is unusual. Choose the correct answer below. A. Yes, this value is unusual. A z-score between −2 and 2 is unusual. B. No, this value is not unusual. A z-score outside of the range from −2 to 2 is not unusual. C. No, this value is not unusual. A z-score between −2 and 2 is not…arrow_forwardFind the standard deviation (rounded to the nearest unit) for the data indicated. Test Score Frequency 90 1 80 4 70 8 60 5 50 3 40 2 30 1 0 4 Is there an easy way to get it?arrow_forwardAre you smarter than a second-grader? A random sample of 59 second-graders in a certain school district are given a standardized mathematics skills test. The sample mean score is X=56. Assume the standard deviation of test scores is o= 15. The nationwide average score on this test is 50. The school superintendent wants to know whether the second-graders in her school district have greater math skills than the nationwide average. Use the a = 0.05 level of significance and the P-value method with the TI-84 calculator. Answer the following questions.arrow_forward
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