Question

omplete: Chapter 13 Problem Set 4. Repeated Suppose you are interested in studying whether noise type affects spatial reasoning abilities. You decide to test spatial reasoning using ANOVA completion time scores for the paper-folding test with five people, repeating the test on each person with three difterent noise types (dassical and nature sounds). In this experiment, the null hypothesis is that O There are no differences in the mean completion times among the noise types compared O The completion time mean for at least one noise type is different from another O There are no individual differences in the completion time means The factor of interest is the and the dependent variable is the ollowing data table. All scores are times necessary to complete the time The results of the study are paper-folding task, recorded in noise type participant Noise Type Pa P 10.10 P 10.58 P= 11.20 P 10.98 P-11.12 3.56 3.91 3.65 4.21 4.16 3.43 3.33 3.79 3.12 3.43 T 16.78 ss “ 0.308 N15 G53.98 3.76 3.65 3.53 T= 17.71 ss "0.1 127 195.7798 ss " o.34 19 O hane here to search Camplete: Chapter 13 Problem Set 4. Repeated measures ANOVA Suppose you are interested in studying whether notse type affects s completion time scores for the paper-folding test with five people, repeating the test on each person wth three different noise types (dassical spatial reasoning abilties. You deade to test spatial reasoning using O There are no differences in the mean completion tmes among the O The completion tome mean for at least one nose type is different from anot O There are no individual differences in the completion time means The factor of interest is the and the dependent vanable is the , participant The results of the study are presented in the followng data table. All scores are times seconds noise type Music White Noise Nature Sounds Participant Totals Participant P 10.10 P 10.58 P 11.20 P 10.98 p 11.12 X195.7798 3.43 3.34 3.76 3.65 3.53 3.79 3.12 3.43 G53.98 4.16 T-17.71 T19.49 16.78 ss 0.1127 ss 0.3419 ss 0,3108 O Type here to search CENGAGE I MİNDTAP Complete: Chapter 13 Problem Set 3.43 3.56 3.91 3.65 4.21 4.16 T=19.49 ss 0.1127 SS-0.3419sS 0.3108 3.11 3.33 3.79 3.12 3,43 T = 16.78 10.10 P 10.58 P 11.20 P 10.98G P 11.12 3.76 15 3.65 53.98 ΣΧ2 · 195.7798 T·17.71 The three treatments in the experiment define three populations of interest. You use an ANOVA to test the hypothesis that the three population means are equal. Present the results of your analysis in the following ANOVA table by entering the missing df values and selecting the correct values for the missing SS, MS, and F entries. (Note: For best results, retain at least two additional deoimal points throughout your calculations. Depending on the order in which you do these calculations and the number of digits you retain, you may find sight rounding differences in the last digit between your answers and the answer choices.) ANOVA Table df MS Source 0.0638 0.0694 Error Total Total the Distributions tool to find the critical value for a-0.01. The crtcal value is F = . _ 0.01, evaluate the null hypothesis that the population means for all treatments are conclude that noise type affects spatial reasoning abaties. equal. The null hypothesis At a significance level of a YOU is O Type here to search

Answer 1

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