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11. (2 points) A researcher is looking into birth order, and any relationships it might have with height. The researcher finds families with exactly three adult children and measures each, recording the data in the Excel file 'Practice Set 5 Excel Data." Is there evidence at a - 0.05 that there is any difference in height between first born, middle, or last born children? (a) What test are you using? Give a brief explanation for your answer. (b) What are the population(s) which are sampled? (c) Is this one or two tailed ? (d) Clearly state both the null and alternative hypotheses. (e) Determine Ferit and Famp, and/or a p value. (I) What decision do you make about your hypotheses? Briefly, interpret this answer in terms of the actual situation - is there evidence for a difference in height based on birth order? A). ANOVA because we are testing 3 or more samples b). The population all childrens in families looking at hiught ( ) . two talked d ). Ho: Hy =Hm = Mo; that is all children have the same mean height Hi: at least one major group has a different height () . Fcrit = 3. 22 + Framp = 0. 288 F). We fail to reject Ho; We are lacking strong statistical evidence to say there is a difference in height between first born, middle, or last born childrent, No there i's no evidence for a difference in height order AutoSave CO -0. : Practice Set #5 Data - Excel Search File Home Insert Draw Page Layout Formulas Data Review View Help ACROBAT Insert Calibri A A 252 29 Wrap Text General Delete ~ * % 9 478 98 Conditional Format as Cell Paste SEE E Merge & Center v Formatting ~ Table . Styles Format Number Styles Cells Clipboard Font Alignment X V fx 645 E G H M N O Family ID Youngest Middle Oldest Problem #11 A researcher wants to know if there are differences in height and birth order 65.3 They select families with three adult children and survey each by height (inches) 64 5 64.2 70 9 71 5 73.2 69 6 71.1 Is there evidence at alpha = 0.05 that there is a difference in height, by birth order? 71 3 73 9 75 70. 68.5 67 5 75.2 75.2 76.4 73 7 74.9 73.5 714 72.2 75.1 73 74 8 74.8 10 53.8 62.3 65.1 11 70.8 58 9 72.8 12 67.7 59 8 68 7 13 63.6 64.8 67.6 14 61 8 62.7 51.5 15 73.9 72