Question: Dr. Grant is interested in learning more about the effects of different diets on dinosaur weight. So, he conducts a study in which 20 Tyrannosaurus
Dr. Grant is interested in learning more about the effects of different diets on dinosaur weight. So, he conducts a study in which 20 Tyrannosaurus rex specimens of equal initial weight are assigned at random to one of four diets. The Tyrannosaurs are fed their respective diets for 10 months and then weighed. Assume that the data on Tyrannosaur weights are distributed normally.
| Variable(s) | Diet brand and Percent Weight Gain |
| Type of Variable (diet brand) | Independent |
| Type of Variable (percent weight gain) | Dependent |
| Type of Data (diet brand) | Categorical |
| Type of Data (diet brand) | Continuous |
| Null Hypothesis | There is no difference in the percent weight gain between the four different brands. |
| Alternative Hypothesis | There is a difference in the percent weight gain between the four different brands. |
| Correct Statistical Test | T-test or ANOVA (Analysis of Variance) |

Oneway Analysis of Percent Weight Gain 2 By Diet Brand 25 20 Percent Weight Gain 2 15 10 5 Bulk-up Rex Mesozoic Life Rex Tech Tyratize Diet Brand Oneway Anova Summary of Fit Rsquare 0.406315 Adj Rsquare 0.294999 Root Mean Square Error 4.484007 Mean of Response 1431213 Observations (or Sum Wgts) 20 Analysis of Variance Sum of Source DF Squares Mean Square F Ratio Prob > F Diet Brand 3 220.17069 73 3902 3.6501 0.0353- Error 16 321.70107 20.1063 C. Total 19 541.87176 4 Means for Oneway Anova Level Number Mean Std Error Lower 95%% Upper 95%% Bulk-up Rex 5 19.6715 2 0053 15.420 23.923 Mesozoic Life 14.4670 2 0053 10.216 18.718 Rex Tech 11.7587 2 0053 7.508 16.010 Tyratize 11.3512 20053 7.100 15.602 Sid Error uses a pooled estimate of error variance
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