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# Suppose that X1,...,X11 form a random sample from the ISBN: 9780321500465 233

## Solution for problem 19 Chapter 9.7

Probability and Statistics | 4th Edition

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Problem 19

Suppose that X1,...,X11 form a random sample from the normal distribution with unknown mean 1 and unknown variance 2 1 . Suppose also that Y1,...,Y21 form an independent random sample from the normal distribution with unknown mean 2 and unknown variance 2 2 . Suppose that we wish to test the hypotheses in Eq. (9.7.7). Let be the equal-tailed two-sided F test with level of significance 0 = 0.5. a. Compute the power function of when 2 1 = 1.012 2 . b. Compute the power function of when 2 1 = 2 2 /1.01. c. Show that is not an unbiased test. (You will probably need computer software that computes the function Gm1,n1. And try to minimize the amount of rounding you do.)

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#data analysis using hamilton data to predict y data=read.csv("hamilton.csv") #wewill check the performance of first-order model m1=lm(y~x1+x2, data) summary(m1) par(mfrow=c(1,3)) plot(data[,1], m1\$res) plot(data[,2],m1\$res) plot(fitted(m1),m1\$res) #I did not observe an obvious pattern in the residual plots #we will present the partial residual plots on x1 partial=m1\$res+coef(m1)*data[,1]...

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##### ISBN: 9780321500465

The answer to “Suppose that X1,...,X11 form a random sample from the normal distribution with unknown mean 1 and unknown variance 2 1 . Suppose also that Y1,...,Y21 form an independent random sample from the normal distribution with unknown mean 2 and unknown variance 2 2 . Suppose that we wish to test the hypotheses in Eq. (9.7.7). Let be the equal-tailed two-sided F test with level of significance 0 = 0.5. a. Compute the power function of when 2 1 = 1.012 2 . b. Compute the power function of when 2 1 = 2 2 /1.01. c. Show that is not an unbiased test. (You will probably need computer software that computes the function Gm1,n1. And try to minimize the amount of rounding you do.)” is broken down into a number of easy to follow steps, and 124 words. Since the solution to 19 from 9.7 chapter was answered, more than 235 students have viewed the full step-by-step answer. This full solution covers the following key subjects: . This expansive textbook survival guide covers 102 chapters, and 1615 solutions. Probability and Statistics was written by and is associated to the ISBN: 9780321500465. The full step-by-step solution to problem: 19 from chapter: 9.7 was answered by , our top Statistics solution expert on 01/12/18, 02:58PM. This textbook survival guide was created for the textbook: Probability and Statistics, edition: 4.

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