12-2 Two-Way ANOVA 635 6. Weights from ANSUR I and ANSUR II The following table lists weights (kg) of randomly selected U.S. Army personnel obtained from the ANSUR I study conducted in 1988 and the ANSUR II study conducted in 2012. If we use the data with two-way analysis of variance and a 0.05 significance level, we get the accompanying display. What do you conclude? ANSUR I - 1998 ANSUR II - 2012 Female 72.6 56.0 66.7 53.6 54.5 77.9 57.3 58.2 55.3 69.8 64.0 59.0 Male 70.7 77.1 77.3 74.4 75.4 83.0 82.4 65.0 96.1 97.9 54.0 60.8 XLSTAT 7. Distance Between Pupils The following table lists distances (mm) between pupils of randomly selected U.S. Army personnel collected as part of the ANSUR II study. Results from two-way analysis of variance are also shown. Use the displayed results and use a 0.05 significance level. What do you conclude? Are the results as you would expect? Right-Handed Left-Handed Female 65 64 60 59 56 71 63 62 70 63 Male 66 63 67 69 70 68 68 64 67 65 Statdisk 8. Pancake Experiment Listed below are ratings of pancakes made by experts (based on data from Minitab). Different pancakes were made with and without a supplement and with different amounts of whey. The results from two-way analysis of variance are shown. Use the displayed results and a 0.05 significance level. What do you conclude? Whey 0% 10% 20% 30% No Supplement 4.4 4.5 4.3 4.6 4.5 4.8 4.5 4.8 4.8 4.6 4.7 5.1 Supplement 3.3 3.2 3.1 3.8 3.7 3.6 5.0 5.3 4.8 5.4 5.6 5.3 Minitab 9. Sitting Heights The sitting height of a person is the vertical distance between the sitting surface and the top of the head. The following table lists sitting heights (mm) of randomly selected U.S. Army personnel collected as part of the ANSUR II study. Using the data with a 0.05 significance level, what do you conclude? Are the results as you would expect? Right-Handed Left-Handed Female 857 878 875 786 897 871 858 885 846 812 Male 944 908 902 913 946 1001 917 1030 915 977
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