data consist of height measurements in centimeters of 5 randomly selected children at ages 3 and 5. Assume data are observed from 2 independent normal populations. find a 95% confidence interval of the form (a,b) with -inf < a < b < +inf for the difference in height among children between ages 3 and 5

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data consist of height measurements in centimeters of 5 randomly selected children at ages 3 and 5. Assume data are observed from 2 independent normal populations.

find a 95% confidence interval of the form (a,b) with -inf < a < b < +inf for the difference in height among children between ages 3 and 5

Child
3 years old 5 years old Difference
i
Yi
Yi – X;
1
95.6
114.8
19.2
2
75.4
84.0
8.6
3
76.6
99.7
23.1
4
99.4
121.0
21.6
5
65.7
80.7
15.0
Observed sample mean
82.5
100.0
17.5
Observed sample variance
206.2
322.2
34.1
Transcribed Image Text:Child 3 years old 5 years old Difference i Yi Yi – X; 1 95.6 114.8 19.2 2 75.4 84.0 8.6 3 76.6 99.7 23.1 4 99.4 121.0 21.6 5 65.7 80.7 15.0 Observed sample mean 82.5 100.0 17.5 Observed sample variance 206.2 322.2 34.1
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