NAME:Calculator Homework #6 – The Central Limit TheoremExercise 1The population mean annual salary for environmental compliance specialists is about $63,500.A random sample of 35 specialists is drawn from this population. What is the probability thatthe mean salary of the sample is less than $60,000? Assume o = $6100.Exercise 2During a certain week the mean price of gasoline in the New England region was $2.714 pergallon. A random sample of 32 gas stations is drawn from this population. What is theprobability that the mean price for the sample was between $2.695 and $2.725 that week?Assume o = $0.045.Exercise 3The mean height of women in the United States (ages 20 – 29) is 64.3 inches. A random sampleof 60 women in this age group is selected. What is the probability that the mean height for thesample is greater than 66 inches? Assume o = 2.6 inches. Exercise 4An education finance corporation claims that the average credit card debts carried byundergraduates are normally distributed, with a mean of $3173 and a standard deviation of$1120.a) What is the probability that a randomly selected undergraduate, who is a credit card holder, hasa credit card balance less than $2700?b) You randomly select 25 undergraduates who are credit card holders. What is the probabilitythat their mean credit card balance is less than $2700?

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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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The population mean annual salary for environmental compliance specialists is about $63,500. A random sample of 35 specialists is drawn from this population. What is the probability that the mean salary of the sample is less than $60,000? Assume o = $6100.