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4. Construct the 95% confidence interval for ₁ - 2, the average score difference between group A and B. Please show your derivation steps, no calculations is needed. (1). Derive the distribution of Y. - Y2. and construct the 95% confidence interval for H₁ H₂ when the variance o2 is known. (2). (Graduate Only) When the variance o² is unknown, derive and construct the 95% confidence interval for ₁-₂.

4. Construct the 95% confidence interval for ₁ - 2, the average score difference between group A and B. Please show your derivation steps, no calculations is needed. (1). Derive the distribution of Y. - Y2. and construct the 95% confidence interval for H₁ H₂ when the variance o2 is known. (2). (Graduate Only) When the variance o² is unknown, derive and construct the 95% confidence interval for ₁-₂.

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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4. Construct the 95% confidence interval for ₁-2, the average score difference between group A and B. Please show your derivation steps, no calculations is needed. (1). Derive the distribution of Y₁.-Y2. and construct the 95% confidence interval for ₁-₂ when the variance o2 is known. (2). (Graduate Only) When the variance o² is unknown, derive and construct the 95% confidence interval for ₁-2- 5. Find the 95% Bonferroni's Simultaneous Confidence Intervals (SCI) for all pairwise mean difference {i-, i,i = 1,2,3}. Which differences are significant? 6. Find the 95% Tukey's Simultaneous Confidence Intervals for all pairwise mean differences. Which differences are significant?
Transcribed Image Text:4. Construct the 95% confidence interval for ₁-2, the average score difference between group A and B. Please show your derivation steps, no calculations is needed. (1). Derive the distribution of Y₁.-Y2. and construct the 95% confidence interval for ₁-₂ when the variance o2 is known. (2). (Graduate Only) When the variance o² is unknown, derive and construct the 95% confidence interval for ₁-2- 5. Find the 95% Bonferroni's Simultaneous Confidence Intervals (SCI) for all pairwise mean difference {i-, i,i = 1,2,3}. Which differences are significant? 6. Find the 95% Tukey's Simultaneous Confidence Intervals for all pairwise mean differences. Which differences are significant?
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