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4. Construct the 95% confidence interval for µ₁ − µ2, 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.

4. Construct the 95% confidence interval for µ₁ − µ2, 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.

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 µ₁ μ2, the average score difference between group A and B. Please show your derivation steps, no calculations is needed. (1). Derive the distribution of Ỹ₁. – Y₂. and construct the 95% confidence interval for ₁2 when the variance o² is known.
Transcribed Image Text:4. Construct the 95% confidence interval for µ₁ μ2, the average score difference between group A and B. Please show your derivation steps, no calculations is needed. (1). Derive the distribution of Ỹ₁. – Y₂. and construct the 95% confidence interval for ₁2 when the variance o² is known.
Setup: In an experiment to compare different methods of teaching arithmetic, a group of students were randomly divided into three equal-sized groups. Group A was taught by the current method, while the other two groups were taught by one of two new methods. At the end, each student took a standardized test, with the following results: Group A B C Grand Y₁. 18.55 24 23 22 23.44 16.11 19.37 Score 23 16 15 14 17 14 24 20 24 19 28 26 26 19 24 21 14 13 19 15 15 10 18 20 (Y₁. – Y..)² 0.664 16.60 10.62 s² 18.03 9.53 13.11
Transcribed Image Text:Setup: In an experiment to compare different methods of teaching arithmetic, a group of students were randomly divided into three equal-sized groups. Group A was taught by the current method, while the other two groups were taught by one of two new methods. At the end, each student took a standardized test, with the following results: Group A B C Grand Y₁. 18.55 24 23 22 23.44 16.11 19.37 Score 23 16 15 14 17 14 24 20 24 19 28 26 26 19 24 21 14 13 19 15 15 10 18 20 (Y₁. – Y..)² 0.664 16.60 10.62 s² 18.03 9.53 13.11
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