Question

How many calories do you think you burn or expend with 60 minutes of walking on the treadmill? An article that appeared in the American Journal of Men's Health (2010) presented the results of a study conducted by researchers Harris and George, whose objective was to evaluate how accurately men can estimate their energy expenditure (EE) as measured in kilocalories (kcal). 100 normal-weight and overweight male participants, ages 21-45 years, were recruited from a large, urban university in South Florida. During one session, each participant was made to walk for 60 minutes on a treadmill, and their actual EE was calculated. After they had completed the task, each participant was asked to estimate the number of calories they burned during the task. Here are some summary statistics Sample Sample Estimated Actual Difference - size average (kcal) SD (kcal) 100 100 100 Sample Se 455.1 Sa 40.2 Sd354.2 Xe 370 a244 Estimated Actual Use the Theory-Based Inference applet to carry out a test for two independent means. Report the standardized statistic and p-value for this test. Round the test statistic to 2 decimal places, e.g. 5.83, and the p-value to 4 decimal places, e.g. 0.0583. 1, p-value- Answer *1: the absolute tolerance is +/-0.02 Answer *2: the absolute tolerance is +/-0.0002 Use the Theory-Based Inference applet to carry out a test for two paired means. Report the standardized statistic and p- value for this test. Round the test statistic to 2 decimal places, e.g. 5.83, and the p-value to 4 decimal places, e.g. 0.0583 1 and the p-value is Answer *1: the absolute tolerance is -0.02 Answer *2: the absolute tolerance is +/-0.0002

Answer 1

1. Test of two independent mean

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2. Test of paired means

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3. This suggests pairing was effective at reducing variability and improving strength of evidence against the null hypothesis.