In an experiment conducted online at some university, study participants are asked to react to a stimulus. In one experiment, the participants must press a key on seeing a green screen and reaction time (in seconds) to press the key is measured. The same person is then asked to press a key on seeing a purple screen, again with reaction time measured. The results for six randomly selected study participants are as follows. Participant 1 2 3 4 5 6 Green 0.582 0.481 0.841 0.266 0.685 0.449 Purple 0.408 0.407 0.542 0.401 0.456 0.532 Why are these matched pairs data? In this study, the color that the participant was first asked to react to was randomly selected. Why is this a good idea in this experiment? Is the reaction time to the green stimulus different from the reaction time to the purple stimulus at the a = 0.01 level of significance? Make sure that you check the conditions for the test and explain how the conditions are met, too. Construct a ___% confidence interval for the population mean difference. Interpret your results. Explain how the confidence interval endpoints support the conclusion from the hypothesis test. (Also, what value should be in the blank so that the confidence interval and hypothesis test are in agreement? You’ll need to answer this question before making the confidence interval.)

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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In an experiment conducted online at some university, study participants are asked to react to a stimulus. In one experiment, the participants must press a key on seeing a green screen and reaction time (in seconds) to press the key is measured. The same person is then asked to press a key on seeing a purple screen, again with reaction time measured. The results for six randomly selected study participants are as follows.

Why are these matched pairs data?
In this study, the color that the participant was first asked to react to was randomly selected. Why is this a good idea in this experiment?
Is the reaction time to the green stimulus different from the reaction time to the purple stimulus at the a = 0.01 level of significance? Make sure that you check the conditions for the test and explain how the conditions are met, too.
Construct a ___% confidence interval for the population mean difference. Interpret your results. Explain how the confidence interval endpoints support the conclusion from the hypothesis test. (Also, what value should be in the blank so that the confidence interval and hypothesis test are in agreement? You’ll need to answer this question before making the confidence interval.)

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