As part of the National Health Survey conducted by the Department of Health and Human Services, self-reported heights and measured heights were obtained for males aged 12-16. Listed on the next page are sample results. Is there sufficient evidence to support the claim that there is a difference between self-reported heights and measured heights of males aged 12-16? Use a 0.05 significance level. Assume that reported and measured heights are normally distributed. Reported Height 68 71 63 70 71 60 65 64 54 63 66 72 Measured Height 67.9 69.9 64.9 68.3 70.3 60.6 64.5 67 55.6 74.2 65 70.8 a. Construct a 95% confidence interval for the true average of reported heights. b. Construct a 95% confidence interval for the true average of measured heights. C. Compare the two CI from parts (a) and (b) and interpret your findings