**Problem Statement:**Letitia swam the girls 100m freestyle in 56.5 seconds. Ben swam the boys 100m freestyle in a time of 50.3 seconds. The mean time for the girls 100m at the swim meet was 58.6 seconds with a standard deviation of 2.3 seconds. The mean time for the boys 100m at the swim meet was 52.1 seconds with a standard deviation of 1.8. Who swam the faster relative time?**Explanation:**In this question, students are asked to determine who performed better in relation to their respective group averages by comparing the individual times of Letitia and Ben with the mean times of their respective groups.To solve this, students can calculate the z-score for each swimmer:- **Z-Score Formula:** \[ Z = \frac{(X - \mu)}{\sigma} \] where $X$ is the individual's time, $\mu$ is the mean time, and $\sigma$ is the standard deviation.- **Letitia's Z-Score Calculation:** \[ Z_{Letitia} = \frac{(56.5 - 58.6)}{2.3} \]- **Ben's Z-Score Calculation:** \[ Z_{Ben} = \frac{(50.3 - 52.1)}{1.8} \]Each z-score indicates how many standard deviations a swimmer's time is from the mean time of their group. The swimmer with the higher (less negative) z-score is considered to have swum the faster relative time.

Letitia swam the girls 100m freestyle in 56. seconds. Ben swam the boys 100m freestyle in a time of 50.3 seconds. The mean time for the girls 100m at the swim meet was 58.6 seconds with a standard deviation of 2.3 seconds. The mean time for the boys 100m at the swim meet was 52.1 with a standard deviation of 1.8. Who swam the faster relative time?

Letitia swam the girls 100m freestyle in 56. seconds. Ben swam the boys 100m freestyle in a time of 50.3 seconds. The mean time for the girls 100m at the swim meet was 58.6 seconds with a standard deviation of 2.3 seconds. The mean time for the boys 100m at the swim meet was 52.1 with a standard deviation of 1.8. Who swam the faster relative time?

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

The mean grade of in the final examination in the mathematics was 85 and tje standard deviation was 7.in science , his mean grade was 89 and the standard deviation was 13.
Mario scored 82 on his history final. The class mean was 78 with a standard deviation of 3 points. He scored 72 on his biology final with a mean score of 65 and a standard deviation of 5 points. Which grade was better compared with the class mean referencing a normal distribution? a. The biology test is better. The z-scores for the biology exam and the history exam respectively are 1.4 and 1.33. b. The biology test is better. The z-scores for the biology exam and the history exam respectively are 1.33 and 1.4. c. The history test is better. The z-scores for the biology exam and the history exam respectively are 1.33and 1.4. d. The history test is better. The z-scores for the biology exam and the history exam respectively are 1.4 and 1.33.
The highway mileage (mpg) for a sample of 8 different models of a car company can be found below. Find the mean, median, mode, and standard deviation. Round to one decimal place as needed. Use technology.19, 22, 26, 28, 29, 31, 35, 35Mean = Median = Mode = Standard Deviation =
Mario's weekly poker winnings have a mean of $353 and a standard deviation of $67. Last week he won $185. How many standard deviations from the mean is that?
Ten year old girls, the Mean is 54.4, the standard deviation 2.7, 95 percentile in height. How tall is she.
A successful basketball player has a height of 6 feet 11 inches, or 211 cm. Based on statistics from a data set, his height converts to the z score of 5.17. How many standard deviations is his height above the mean?
Show your work and explain your answer.
An incoming freshman took her college's placement test in French and she scored 82 points. The overall results on the French test had a mean of 72 and a standard deviation of 8. Scores were normally distributed. Find the percentage of the students who scored higher than 82 points using your normal table. Write your answer without the % sign as a numerical value, for example write 52.7 for 52.7%.
Kindly also calculate the median, standard deviation and the coefficient of skewness from the data.
A pupil in grade 2 jumped 3.2 m for the long jump. The class mean is 2.5 m with a standard deviation of 0.4 m. A pupil in grade 8 at the same school jumped 4.3 m in a class with a mean of 3.4 m and a standard deviation of 0.5 m. Which student should receive the long jump medal for the school track meet?
Todd just got back his exam grades in three classes. In biology the class mean was 75.80 with a standard deviation of 5.15, Todd got an 84.00. In political science the class mean was 84.00 with a standard deviation of 5.50, Todd got an 84.00. In economics the class mean was 87.50 with a standard deviation of 5.60, Todd got a 84.00. 10. What percentage of the economics class scores higher than Todd? 11. Which class is Todd doing best in? State how you determined your answer. 12. Which class is Todd doing worst in? State how you determined your answer.
Please help me out asap