Answered: The university data center has two main…

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 university data center has two main computers. The center wants to examine whether computer 1 is receiving tasks that require processing times comparable to those of computer 2. A random sample of 13 processing times from computer 1 showed a mean of 57 seconds with a standard deviation of 19 seconds, while a random sample of 10 processing times from computer 2 (chosen independently of those for computer 1) showed a mean of 53 seconds with a standard deviation of 20 seconds. Assume that the populations of processing times are normally distributed for each of the two computers and that the variances are equal. Construct a

95% confidence interval for the difference −μ1μ2 between the mean processing time of computer 1, μ1, and the mean processing time of computer 2, μ2. Then complete the table below.

Carry your intermediate computations to at least three decimal places. Round your responses to at least two decimal places.

What is the lower limit of the 95% confidence interval?
What is the upper limit of the 95% confidence interval?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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