Assignment:
Assume that the paired sample data are simple random samples and that the differences have a distribution that is approximately normal.
Self-Reported and Measured Male Heights As part of the National Health and Nutrition Examination Survey, the Department of Health and Human Services obtained self-reported heights and measured heights for males aged 12-16. All measurement are in inches. Listed below are sample results.
a. 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.
b. Construct a 95% 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.
|
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
|
67.0
|
55.6
|
74.2
|
65.0
|
70.8
|