1. Let X = (X1, X2, . ,Xm)' be a rs from N(µ, o²), where µ ER and o² > 0. a. The sampling distribution of the sample sum Sn is b. The sampling distribution of the sample mean X is

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Parametric Inferential Statistics more on mgf topics

Important Concepts in Parametric Inferential Statistics
Learning Outcome: At the end of the exercise, the student must be able to
a. identify the distributions of some statistics using mgf and transformation techniques
b. derive the distributions of some important order statistics
Instruction: Answer the following questions. Show your complete solutions.
1. Let X = (X1, X2, . ,Xn)' be a rs from N(µ, o²), where µ ER and o² > 0.
a. The sampling distribution of the sample sum S, is
b. The sampling distribution of the sample mean X is
Transcribed Image Text:Important Concepts in Parametric Inferential Statistics Learning Outcome: At the end of the exercise, the student must be able to a. identify the distributions of some statistics using mgf and transformation techniques b. derive the distributions of some important order statistics Instruction: Answer the following questions. Show your complete solutions. 1. Let X = (X1, X2, . ,Xn)' be a rs from N(µ, o²), where µ ER and o² > 0. a. The sampling distribution of the sample sum S, is b. The sampling distribution of the sample mean X is
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