**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

Grace has a dog and its weight is z = -0.5lbs. Her current weight is 47 lbs. The average weight for medium-sized dogs is 50 lbs. What is the standard deviation for a dog of her size?
an upscale
The average life of a car tire is 50,000 miles. The standard deviation is 2,000 miles What percent of the tires will last longer than 52,000 miles? If a tire store purchased 400 tires, how many tires would you expect to last longer than 54,000 miles?
Do these calculations using Excel, a graphing calculator, or an app. Type the data in different columns and use Excel to find the means, standard deviations, and the calculation for r. An outbreak of the deadly Ebola virus in 2002 and 2003 killed 91 of the 95 gorillas in 7 home ranges in the Congo. To study the spread of the virus, measure " distance" by the number of home ranges separating a group of gorillas from the first group infected. Here are data on distance and number of days until deaths began in each later group: Distance xx 1 4 6 5 5 6 Days yy 4 20 34 44 48 47 Use a calculator or software to find the following values. (a) Find the mean and standard deviation of xx. MEAN: STANDARD DEVIATION: (b) Find the mean and standard deviation of yy. MEAN: STANDARD DEVIATION: (c) Find the correlation rr between xx and yy. r: Speak
Mark went around the neighborhood collecting spare change for charity. The 7 families gave: $5.00 , $4.00 ,$4.00 , ,$6.00, $6.00, $5.00, $5.00 . What was the mean absolute deviation of the amounts of change given?
Neil scored 67 on his calculus class final and was devastated by his failing grade. His class distribution had a mean of 54 and a standard deviation of 7. Greg was quite proud of his score of 88 for his Spanish language class. His class distribution had a mean of 97 with a standard deviation of 6. a. Which student did better relative to their class?
Look for a,b,c and d. Thanks
The prices of all college textbooks follow a bell-shaped distribution with a mean of $108 and a standard deviation of $21. What percentage of the price that is more than 140? Show your works and read the table.
Find the standard deviation of the following -14, -4,-10, -12, 5, -1.
Max scored an 80 on her psychology quiz, but the class as a whole averaged a 40. If the standard deviation was 10, what was Alicia's z-score?
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.
You want to know the percentage of utility companies that earned revenue greater than 94 million dollars. If the mean revenue was 60 million dollars and the data has a standard deviation of 15 million, find the percentage. Assume that the distribution is normal. Round your answer to the nearest hundredth.