Is there evidence that the mean social marginality scores are not the same for all four age groups? Test the relevant hypotheses using a = .01 by filling in the blanks below Age Group Youths Adults Adults Seniors Let MM2 M3 M4 be the mean social Sample Size 106 255 314 36 marginality scores for the 4 given populations. x 2.00 3.40 3.07 2.84 S 1.56 1.68 1.66 1.89 State the null and alternative hypothesis. Ho: Ha: Where the μi are the mean social marginality scores as indicated above. Use your calculator list's feature to solve the values below. N= און 2 = SSTr= Treatment df = SSE = T=Grand Total = Error df= F = Show your work in space at right = P-value (calculator generated) Drawing a picture may help you calculate the p-value of this F distribution. Conclusion: (p-value vs alpha, reject/fail to reject Ho) 5: In a research study, the accompanying summary statistics for a measure of social marginality for samples of youths, young adults, adults, and seniors appeared. The social marginality score measured actual and perceived social rejection, with higher scores indicating greater social rejection. For purposes of this exercise, assume all required assumptions are met. Is there evidence that the mean social marginality scores are not the same for all four age groups? <>