A programmer has developed a random number generator that gives a normally distributed set of results based on an input population mean and population standard deviation. To test the program, he inputs a mean of 20 and a standard deviation of 5. He generates 23 random numbers with a sample mean of 21.7 and a sample deviation of 5. He wants to test with 95% confidence whether or not this sample has the correct mean of 20. Which of these is the appropriate null hypothesis? (Ho: u = 20 or Ho: u =21.7)

A programmer has developed a random number generator that gives a normally distributed set of results based on an input population mean and population standard deviation. To test the program, he inputs a mean of 20 and a standard deviation of 5. He generates 23 random numbers with a sample mean of 21.7 and a sample deviation of 5. He wants to test with 95% confidence whether or not this sample has the correct mean of 20. Which of these is the appropriate null hypothesis? (Ho: u = 20 or Ho: u =21.7)

Name: 1. A programmer has developed a random number generator that gives an
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Description: 1. A programmer has developed a random number generator that gives anormally distributed set of results based on an input population mean andpopulation standard deviation. To test the program, he inputs a mean of 20and a standard deviation of 5. He

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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1. A programmer has developed a random number generator that gives a
normally distributed set of results based on an input population mean and
population standard deviation. To test the program, he inputs a mean of 20
and a standard deviation of 5. He generates 23 random numbers with a
sample mean of 21.7 and a sample deviation of 5. He wants to test with 95%
confidence whether or not this sample has the correct mean of 20.
Which of these is the appropriate null hypothesis?
(Ho: µ = 20 or Ho: µ =21.7)
What z-value is calculated as the test statistic for this hypothesis?
What is the p-value associated with this z?
What is the decision? (fail to reject null hypothesis or reject null
hypothesis)
With 95% confidence based on this measurement, is the program
working correctly?

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