4 Suppose you are interested in studying whether scent affects spatial reasoning abilities. You decide to test spatial reasoning using completion timescores for the paper-folding test with five people, repeating the test on each person with three different scents (cinnamon, lavender, and peppermint).In this experiment, the null hypothesis is that:O There are no differences in the mean completion times among the scents comparedO There are no individual differences in the completion time meansO The completion time mean for at least one scent is different from anotherThe factor of interest is the, and the dependent variable is theThe results of the study are presented in the following data table. All scores are times necessary to complete the paper-folding task, recorded inseconds.ScentParticipantCinnamonLavenderPeppermintParticipant Totals3.413.403.49P = 10.303.293.473.25P = 10.01%3D3.703.713.63P = 11.04153.684.083.88P = 11.64G54.703.804.173.74P = 11.71ΣΧ2200.4864T = 17.88T= 18.83T = 17.99SS = 0.1858SS = 0.4866SS = 0.2335The three treatments in the experiment define three populations of interest. You use an ANOVA to test the hypothesis that the three population meansare equal. Present the results of your analysis in the following ANOVA table by entering the missing df values and selecting the correct values for themissing SS, MS, and F entries. (Note: For best results, retain at least two additional decimal points throughout your calculations. Depending on theorder in which you do these calculations and the number of digits you retain, you may find slight rounding differences in the last digit between youranswers and the answer choices.)ANOVA TableSSdfMSFSourceBetween treatments0.0755Within treatments0.1973Between subjectsError14Total SS = 0.1858The three treatments in the experiment define three populations of interest. You use an ANOVA to test the hypothesis that the three population meansare equal. Present the results of your analysis in the following ANOVA table by entering the missing df values and selecting the correct values for themissing SS, MS, and F entries. (Note: For best results, retain at least two additional decimal points throughout your calculations. Depending on theorder in which you do these calculations and the number of digits you retain, you may find slight rounding differences in the last digit between youranswers and the answer choices.)ANOVA TabledfMSFSourceBetween treatments0.0755Within treatmentsBetween subjects0.1973ErrorTotal14F DistributionNumerator Degrees of Freedom -26Denominator Degrees of Freedom -265000500012481.00FUse the Distributions tool to find the critical value for a = 0.01. The critical value is F =At a significance level of a = 0.01, evaluate the null hypothesis that the population means for all treatments are equal. The null hypothesis isYouconclude that scent affects spatial reasoning abilities.

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e mterested IA studying whéther scent affects spatial reasoning abilities. You decide to test spatial reasoning using completion time you scores for the paper-folding test with five people, repeating the test on each person with three different scents (cinnamon, lavender, and peppermint). In this experiment, the null hypothesis is that: O There are no differences in the mean completion times among the scents compared O There are no individual differences in the completion time means O The completion time mean for at least one scent is different from another

e mterested IA studying whéther scent affects spatial reasoning abilities. You decide to test spatial reasoning using completion time you scores for the paper-folding test with five people, repeating the test on each person with three different scents (cinnamon, lavender, and peppermint). In this experiment, the null hypothesis is that: O There are no differences in the mean completion times among the scents compared O There are no individual differences in the completion time means O The completion time mean for at least one scent is different from another

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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