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# Refer to Exercise 5.86. Suppose that Z is a standard normal random variable and that Y ISBN: 9780495110811 47

## Solution for problem 5.156 Chapter 5

Mathematical Statistics with Applications | 7th Edition

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Problem 5.156

Refer to Exercise 5.86. Suppose that Z is a standard normal random variable and that Y is an independent 2 random variable with degrees of freedom. a Define W = Z/ Y . Find Cov(Z, W). What assumption do you need about the value of ? b With Z, Y , and W as above, find Cov(Y, W). c One of the covariances from parts (a) and (b) is positive, and the other is zero. Explain why.

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Chapter 2 2.1 Statistics is all about data: (nothing but counts and measurement) Data- Qualitative: names, labels, etc. Ex. Gender survey Quantitative: numerical  count (discrete), sibling survey (numerical discrete)  Measurement (continuous), height survey (numerical continuous) Examples: Exam 1 (2012) Q. 14.) B Q. 15.) C 2.2 Other forms: ordinal variable ex. Level of lower back pain...

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##### ISBN: 9780495110811

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