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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?

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?

MATLAB: An Introduction with Applications
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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Activity Paired vs. Unpaired Experiments We have now discussed two methods of collecting data to compare 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. The importance of this decision cannot be overemphasized, since the amount of information obtained and the cost of the experiment are both directly related to the method of experimentation that is chosen. Choose two populations (pertinent to your school major) that have unknown means and for which you could both collect two independent samples and collect paired observations. Before conducting the experiment, state which method of sampling you think will provide more information (and why). Compare the two methods, first performing the independent sampling procedure by collecting 10 observations from each population (a total of 20 mea- surements) and then performing the paired difference experiment by 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 performance of the experiment? Does your result agree with your preliminary expectations?
Transcribed Image Text:Activity Paired vs. Unpaired Experiments We have now discussed two methods of collecting data to compare 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. The importance of this decision cannot be overemphasized, since the amount of information obtained and the cost of the experiment are both directly related to the method of experimentation that is chosen. Choose two populations (pertinent to your school major) that have unknown means and for which you could both collect two independent samples and collect paired observations. Before conducting the experiment, state which method of sampling you think will provide more information (and why). Compare the two methods, first performing the independent sampling procedure by collecting 10 observations from each population (a total of 20 mea- surements) and then performing the paired difference experiment by 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 performance of the experiment? Does your result agree with your preliminary expectations?
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