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3. Let X1, X2, ..., X, be a random sample from a normal population with mean u and variance a2 taken independently from another random sample Y1, Y2, Ym from a normal population with mean 0 and variance o?. Let Z; = ACP, Derive the distribution of T =- m-1

3. Let X1, X2, ..., X, be a random sample from a normal population with mean u and variance a2 taken independently from another random sample Y1, Y2, Ym from a normal population with mean 0 and variance o?. Let Z; = ACP, Derive the distribution of T =- m-1

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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3. Let X1, X2, X, be a random sample from a normal population with mean µ and variance o2 taken independently from another random sample Yı, Y2, ..., Ym from a normal population with mean 0 X1-H. Derive the distribution of T = %3D and variance o². Let Z¡ (Y1-9)² m-1
Transcribed Image Text:3. Let X1, X2, X, be a random sample from a normal population with mean µ and variance o2 taken independently from another random sample Yı, Y2, ..., Ym from a normal population with mean 0 X1-H. Derive the distribution of T = %3D and variance o². Let Z¡ (Y1-9)² m-1
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