The ages of the winners of a cycling tournament are approximately bell-shaped. The mean age is 27.6 years, with a standard deviation of 3.5 years. The winner in one recent year was 26 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.)(b) Interpret the results.An age of 26 isstandard 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 between - 2 and 2 is not unusual.B. Yes, this value is unusual. A z-score between - 2 and 2 is unusual.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 outside of the range from - 2 to 2 is not unusual.

The mean is 27.6 years and the standard deviation is 3.5 years.

Answered: The ages of the winners of a cycling…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Use z scores to compare the given values. The tallest living man at one time had a height of 256cm. The shortest living man at that time had a height of 114.6 cm. Heights of men at that time had a mean of 174.87 cm and a standard deviation of 7.57 cm. Which of these two men had the height that was more extreme? Since the z score for the tallest man is z=____ and the z score for the shortest man is z=_____, the (Shortest/tallest) man had the height that was more extreme. (Round to two decimal places.)
Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest speed measured was 77.3 Mbps. The complete list of 50 data speeds has a mean of x = 18.24 Mbps and a standard deviation of s = 17.77 Mbps. a. What is the difference between carrier's highest data speed and the mean of all 50 data speeds? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the carrier's highest data speed to a z score. d. If we consider data speeds that convert to z scores between -2 and 2 to be neither significantly low nor significantly high, is the carrier's highest data speed significant? a. The difference is (Type an integer or a Mbps. decimal. Do not round.) b. The difference is (Round to two decimal standard deviations. places as needed.) c. The z score is z = (Round to two decimal places as needed.) d. The carrier's highest data speed is C
In Math 150 class the points of the final exam are normally distributedWith a mean of 72 and standard deviation of 10. The top 15% will receive an A gradeFind the lowest score in the final exam that would qualify a student for an A grade.
Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest speed measured was 72.6 Mbps. The complete list of 50 data speeds has a mean of x=18.29 Mbps and a standard deviation of s=19.75 Mbps. a. What is the difference between carrier's highest data speed and the mean of all 50 data speeds? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the carrier's highest data speed to a z score. d. If we consider data speeds that convert to z scores between −2 and 2 to be neither significantly low nor significantly high, is the carrier's highest data speed significant? Question content area bottom Part 1 a. The difference is 54.3154.31 Mbps. (Type an integer or a decimal. Do not round.) Part 2 b. The difference is enter your response here standard deviations. (Round to two decimal places as needed.)
You have a sample of 48 randomly selected Vancouverites. On average (the sample mean), the people in your sample spent 425 hours eating food in 2020. The least time a person in the sample spent eating food in 2020 is 367 hours and the most time a person in the sample spent eating food in 2020 is 484 hours. What would be your best guess about the population standard deviation of the time a Vancouverite spent eating food in 2020? Give the number and explain (including assumptions you make about the population distribution).
The mean time taken by all participants to run a road race was found to be 110 minutes with a standard deviation of 15 minutes. Using Chebyshev's theorem, find the percentage of runners who ran this road race in 80 to 140 minutes. Round your answer to the nearest integer. of
Debra attends a fashion institute that has no on-campus housing. The mean distance commuted to campus among all students at the fashion institute is 16 kilometers with a standard deviation of 6 kilometers. The distance Debra commutes is 29 kilometers. (a) Find the z-score of Debra's commute distance relative to the commute distances amongll the students at the institute. Round your answer to two decimal places. (b) Fill in the blanks to interpret the z-score of Debra's commute distance. Make sure to express your answer in terms of a positive number of standard deviations. Debra's commute distance is standard deviations (Choose one) v the mean commute distance among all students at the institute. Submi Continue MacBook Air
Jeff is doing an experiment involving mice. The mice weights have mean weight 3.74 ounces and standard deviation 0.026 ounces. Jeff selects 100 mice independently and calculates the sample mean, x̄, of their weights. What is the standard deviation of x̄?
The mean score on the ACT test was 19.3 and the standard deviation was 5.4. The distributions of scores was approximately bell-shaped. Compute the z-score for an ACT test score of 15. Write only a number as your answer. Round your answer to two decimal places (for example: 3.15).
Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest speed measured was 71.7 Mbps. The complete list of 50 data speeds has a mean of x = 15.45 Mbps and a standard deviation of s = 21.16 Mbps. a. What is the difference between carrier's highest data speed and the mean of all 50 data speeds? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the carrier's highest data speed to az score. d. If we consider data speeds that convert to z scores between -2 and 2 to be neither significantly low nor significantly high, is the carrier's highest data speed significant? a. The difference is Mbps. (Type an integer or a decimal. Do not round.)
The mean height of females in a certain country is 66 inches with a standard deviation of 4 inches. Find the height that correspond to a z score of 0.8. Round your answer to one decimal place, if needed.
Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest speed measured was 73.7 Mbps. The complete list of 50 data speeds has a mean of x = 16.05 Mbps and a standard deviation of s = 17.75 Mbps. a. What is the difference between carrier's highest data speed and the mean of all 50 data speeds? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the carrier's highest data speed to a z score. d. If we consider data speeds that convert to z scores between -2 and 2 to be neither significantly low nor significantly high, is the carrier's highest data speed significant? ..... a. The difference is Mbps. (Type an integer or a decimal. Do not round.) b. The difference is standard deviations. (Round to two decimal places as needed.) c. The z score is z = (Round to two decimal places as needed.) d. The carrier's highest data speed is Next MacBook F12 DD F11 DII F10 F9 F8 888 00 F7 F6 F5 F4 F3 F2 F1 & ! @ # $ 7 8 4 5 6…

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS