As part of the National Health and Nutrition Examination Survey, the Department of Health and Human Services obtained self-reported heights (in.) and measured heights (in.) for males aged 12-16. Listed below are sample results. Construct a 99% confidence interval estimate of the mean difference between reported heights and measured heights. Interpret the resulting confidence interval, and comment on the implications of whether the confidence interval limits contain 0.

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Reported 6871 63 70 71 60 65 64 54 636672 Measured 67.9 69.9 64.9 68.3 70.3 60.6 64.5 67.0 55.674.2 65.0 70.8