Activity Paired vs. Unpaired ExperimentsWe have now discussed two methods of collecting data tocompare two population means. In many experimental situa-tions, a decision must be made either to collect two indepen-dent samples or to conduct a paired difference experiment. Theimportance of this decision cannot be overemphasized, since theamount of information obtained and the cost of the experimentare both directly related to the method of experimentation thatis chosen.Choose two populations (pertinent to your school major) thathave unknown means and for which you could both collect twoindependent samples and collect paired observations. Beforeconducting the experiment, state which method of sampling youthink will provide more information (and why). Compare the twomethods, first performing the independent sampling procedure bycollecting 10 observations from each population (a total of 20 mea-surements) and then performing the paired difference experimentby collecting 10 pairs of observations.Construct two 95% confidence intervals, one for each experi-ment you conduct. Which method provides the narrower confi-dence interval and hence more information on this performanceof the experiment? Does your result agree with your preliminaryexpectations?

Suppose we are interested in comparing the mean test scores of two groups of students, one group who…

Answered: Construct two 95% confidence intervals,…

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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Sample # 1 and has been provided in the second screenshot (hand written)
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Construct two 95% confidence intervals, one for each experi- ment you conduct. Which method provides the narrower confi- dence interval and hence more information on this performance of the experiment? Does your result agree with your preliminary expectations?