Problem: Self-reported heights and measured heights of twelve males aged 12 - 16 are shown in the table to the right. At the 5% significance level, is there sufficient evidence to support the claim that there is a difference between the average reported heights and the measured heights of males aged 12 -16? All measurements are in inches. Note: Hypothesis testing method work must be shown for credit on this problem. Be detailed in your response and provide examples also.
|
Reported Height
|
Measured Height
|
|
69
|
67.9
|
|
71
|
69.9
|
|
64
|
64.9
|
|
71
|
68.3
|
|
72
|
70.3
|
|
61
|
60.6
|
|
65
|
64.5
|
|
67
|
67.0
|
|
58
|
55.6
|
|
65
|
64.2
|
|
66
|
65.0
|
|
70
|
70.8
|