Professor Longbottom thinks that if people believe that they are carrying a heav
ID: 3217241 • Letter: P
Question
Professor Longbottom thinks that if people believe that they are carrying a heavy backpack, they will walk more slowly, even if the weight of the backpack remains constant. He recruits 60 participants and asks them to carry a backpack that weighs 6 kg. He randomly assigns each participant to one of four conditions: a control condition where he tells them the correct weight of the backpack, and three test conditions where he tells them the backpack weighs more than 6 kg: 1) 8 kg, 2) 10 kg, and 3) 12 kg. He asks each participant to walk down a corridor that is 30 m long and measured how long it took for each participant to travel the distance. His results are shown in the table on the right (the dependent variable was measured in seconds). Was Professor Longbottom's hypthesis upheld by the results?
6 kg 8 kg 10 kg 12 kg 38.55 41.80 44.02 45.31 42.65 38.81 37.18 38.12 31.87 35.51 43.48 39.94 46.84 42.88 40.48 40.49 40.60 40.28 38.93 39.72 38.92 45.28 47.79 48.95 47.47 40.96 39.61 42.39 46.11 52.02 41.13 44.05 47.35 43.94 43.67 42.81 49.34 37.03 43.15 43.16 39.52 43.88 52.43 41.80 38.99 36.18 40.62 45.97 38.77 42.20 46.08 45.44 32.69 52.15 38.32 42.03 42.73 48.83 37.88 45.81Explanation / Answer
applying one way ANOVA on above data to check if mean of all categories are equal or not
as P value is significantly high we can not reject that all means are equal and reject claim of professor
Anova: Single Factor SUMMARY Groups Count Sum Average Variance 6 kg 15 622.4 41.49333 27.72334 8 kg 15 641.75 42.78333 26.76342 10 kg 15 634.77 42.318 17.26276 12 kg 15 645.99 43.066 8.392683 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 21.27523 3 7.091744 0.353958 0.786438 2.769431 Within Groups 1121.991 56 20.03555 Total 1143.266 59Related Questions
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