4. Repeated-measures ANOVA Aa Aa 3 Suppose you are interested in studying whether noise type affects spatial reasoning abilities. You decide to test spatial reasoning using oompletion time scores for the paper-folding test with five people, repeating the test on each person with three different noise types (classical music, white noise. and nature sounds}. In this experiment. the null hypothesis is that: O The oompletion time mean for at least one noise type is different from another 0 There are no individual differences in the oompletion time means 0 There are no differences in the mean oompletion times among the noise types oompared The factor of interest is the noise type , and the dependent variable is the participant . The results of the study are presented in the following data table. All scores are times neoessary to oomplete the paper-folding task. recorded in seconds. Noise Type Participant Classical Music White Noise Nature Sounds Participant Totals A 3.43 3.56 3.11 P: 10.10 [1 = B 3.34 3.91 3.33 P = 10.53 k = C 3.76 3.65 3.79 P = 11.20 N = 15 D 3.65 4.21 3.12 P = 10.93 G = 53.93 E 3.53 4.16 3.43 P = 11.12 2X2 = 195.?793 T = 12.21 T = 19.49 T = 16.?3 SS = 0.1127 SS = 0.3419 SS = 0.3108 The three treatments in the experiment dene 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 55. MS. and F entries. (Note: For best results. retain at least two additional decimal points throughout your calculations. Depending on the order in which you do these calculations and the number of' digits you retain, you may find slight rounding differences in the last digit between your answers and the answer choices} ANO'U'A Table Source SS df MS F Between treatments Within treatments 0.0638 Between subjects 0.0694 Error Total 14 F DIMbIJDn \"mtaregrees o'Freedam = 25 IEE Mummieymesufaadum=26 Use the Distributions tool to find the critical value for c: = .01. The critical value is F = At a significance level of or = .01, evaluate the null hypothesis that the population means for all tneaiJ'nents are equal. The null hypothesis is . You conclude that noise type affects spatial reasoning abilities