The following output was obtained from data that contains temperatures for 130 r
ID: 3149810 • Letter: T
Question
The following output was obtained from data that contains temperatures for 130 randomly selected male & female subjects (65 of each). Based on the output, answer the following questions regarding difference in mean body temperature between men and women.
Based on the 95% CI, is there evidence that the mean temperature depends on gender? Explain.
Oneway Anova 101 Tests that the Variances are Equal Summary of Fit 0.039206 0.0317 0.721469 98.24923 130 uare 100 Rsquare Root Mean Square Error Mean of Response Observations (or Sum Wats) MeanAbsDif MeanAbsDif Level Count Std Dev to Mean to Median 65 0.7434878 0.54816570.5476923 65 0.6987558 0.56776330.5676923 Difference -0.28923 t Ratio 2.28543 Std Err Dif Upper CL Dif -0.03882 Prob > Lower CL Dif -0.53964 Prob >t 0.9880 Confidence 0.12655 DF 128 0.0239 0.95 Prob F Source GENDER Error C. Total Means and Std Deviations 1 2.718769 128 66.626154 129 69.344923 2.71877 5.2232 00239 0.52052 Std Err 64 Level Number Mean Std Dev Mean Lower 95% Upper 95% 98.210 97.931 Welch's Test 65 98.3938 0.743488 0.09222 65 98.1046 0.698756 0.08667 98.578 98.278 Means for Oneway Anova Level Number Mean Std Error Lower 95% Upper 95% F Ratio DFNum DFDen Prob>F 5.2232 65 98.3938 0.08949 65 98.1046 0.08949 98.217 97.928 98.571 98.282 1 127.51 0.0239 2.2854 Quantiles Level Minimum 1096 964 97.52 97.1 25% Median 984 98.1 75% 98.8 98.6 90% Maximum 100.8 99.5 99.2 96.3 97.6Explanation / Answer
Here, the 95% confidence interval for the difference (under t test) is
(-0.53964 ,-0.03882)
As this is totally negative (0 is not inside the interval), then YES: there is evidence that the mean temperature depends on gender (or, YES, they are significant difference in the mean temperatures of the two genders). [ANSWER]
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.