Answered: n a large high school of 2500 students,…

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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Question

n a large high school of 2500 students, the mean number of cars owned by students’ families is 2.35 with a standard deviation of 1.06 cars.

a) Think about this distribution. Do you think it is normal? Using the empirical rule give the ranges for each of the 3 standard deviations assuming this is a symmetric and mound shaped distribution. Does it seem like this is the distribution is normal?

b) A simple random sample of 16 students is taken and the mean number of cars owned is calculated. What are the mean and standard deviation of the sample mean? Can we use this to find probabilities? Why or why not?

c) A simple random sample of 36 students is taken and the mean number of cars owned is calculated. What are the mean and standard deviation of the sample mean? Can we use this to find probabilities? Why or why not?

d) Using the information in part c) What is the probability that the sample mean is greater than 2.5 cars? Insert the graph from Rguroo that gives the output for this question.

2) In a large high school of 2500 students, 21% of them are seniors.

a) A simple random sample of 150 students is taken and the proportion of seniors is calculated. What are the mean and standard deviation of the sample proportion? Can we use this to calculate probabilities? (That is does it meet the assumptions of the Central Limit Theorem?)

b) What is the probability that the sample will contain less than 15% seniors? Insert the graph from Rguroo that gives the output for this question.

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