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Which of the following answers is correct and why? I really need an explanation for this question.

Which of the following answers is correct and why? I really need an explanation for this question.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Which of the following answers is correct and why? I really need an explanation for this question. 

A 0.350 B0.427 VC0.462 D 0.757 E 0.818 5) High school students in Limburg participated in a training program to improve running times. Before the training, the mean running time for the students to run a kilometer was 402 seconds with standard deviation 40 seconds. After completing the program, the mean running time for the students to run a kilometer was 368 seconds with standard deviation 30 seconds. Let X represent the running time of a randomly selected student before training, and let Y represent the running time of the same student after training. Which of the following is true about the distribution of X-Y? A The variables X and Y are independent; therefore, the mean is 34 seconds and the standard deviation is 10 seconds. B The variables X and Y are independent; therefore, the mean is 34 seconds and the standard deviation is 50 seconds. C The variables X and Y are not independent; therefore, the standard deviation is 50 seconds and the mean cannot be determined with the information given. D The variables X and Y are not independent; therefore, the mean is 34 seconds and the standard deviation cannot be determined with the information given. E The variables X and Y are not independent; therefore, neither the mean nor the standard deviation can be determined with the information given. Extra first sit 20/21 6) A marketing firm obtained random samples of 20 people in five regions of the country to investigate the W 15 MacBook Air
Transcribed Image Text:A 0.350 B0.427 VC0.462 D 0.757 E 0.818 5) High school students in Limburg participated in a training program to improve running times. Before the training, the mean running time for the students to run a kilometer was 402 seconds with standard deviation 40 seconds. After completing the program, the mean running time for the students to run a kilometer was 368 seconds with standard deviation 30 seconds. Let X represent the running time of a randomly selected student before training, and let Y represent the running time of the same student after training. Which of the following is true about the distribution of X-Y? A The variables X and Y are independent; therefore, the mean is 34 seconds and the standard deviation is 10 seconds. B The variables X and Y are independent; therefore, the mean is 34 seconds and the standard deviation is 50 seconds. C The variables X and Y are not independent; therefore, the standard deviation is 50 seconds and the mean cannot be determined with the information given. D The variables X and Y are not independent; therefore, the mean is 34 seconds and the standard deviation cannot be determined with the information given. E The variables X and Y are not independent; therefore, neither the mean nor the standard deviation can be determined with the information given. Extra first sit 20/21 6) A marketing firm obtained random samples of 20 people in five regions of the country to investigate the W 15 MacBook Air
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