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a) Find a 95% confidence interval of the form (0, b) for the variance of the height of children at 3 years. b) Find a 95% confidence interval of the form (a, b) with -∞ < a < b < +∞ for the difference in height among children between ages 3 and 5.

a) Find a 95% confidence interval of the form (0, b) for the variance of the height of children at 3 years. b) Find a 95% confidence interval of the form (a, b) with -∞ < a < b < +∞ for the difference in height among children between ages 3 and 5.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question 2 The following data consist of height measurements in centimetres of 5 randomly selected children at ages 3 and 5. Also, assume that the data are observed from two independent Normal populations. Child i 1 3 4 5 Observed sample mean Observed sample variance 3 years old 5 years old Difference Xi Yi - Xi 95.6 114.8 75.4 76.6 99.4 65.7 82.5 206.2 84.0 99.7 121.0 80.7 100.0 322.2 Yi 19.2 8.6 23.1 21.6 15.0 17.5 34.1 a) Find a 95% confidence interval of the form (0, b) for the variance of the height of children at 3 years. b) Find a 95% confidence interval of the form (a, b) with -∞ < a < b < +∞ for the difference in height among children between ages 3 and 5.
Transcribed Image Text:Question 2 The following data consist of height measurements in centimetres of 5 randomly selected children at ages 3 and 5. Also, assume that the data are observed from two independent Normal populations. Child i 1 3 4 5 Observed sample mean Observed sample variance 3 years old 5 years old Difference Xi Yi - Xi 95.6 114.8 75.4 76.6 99.4 65.7 82.5 206.2 84.0 99.7 121.0 80.7 100.0 322.2 Yi 19.2 8.6 23.1 21.6 15.0 17.5 34.1 a) Find a 95% confidence interval of the form (0, b) for the variance of the height of children at 3 years. b) Find a 95% confidence interval of the form (a, b) with -∞ < a < b < +∞ for the difference in height among children between ages 3 and 5.
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