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# Let X have an exponential distribution with a mean of ?; ISBN: 9780321923271 41

## Solution for problem 3E Chapter 8.6

Probability and Statistical Inference | 9th Edition

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Problem 3E

PROBLEM 3E

Let X have an exponential distribution with a mean of θ; that is, the pdf of X is f (x; θ) = (1/θ)e−x/θ , 0 < x < ∞. Let X1,X2, . . . ,Xn be a random sample from this distribution.

(a) Show that a best critical region for testing H0: θ = 3 against H1: θ = 5 can be based on the statistic  (c) If n = 12, find a best critical region of size α = 0.10 for testing H0: θ = 3 against H1: θ = 7.

(d) If H1: θ > 3, is the common region found in parts (b) and (c) a uniformly most powerful critical region of size α = 0.10?

Step-by-Step Solution:
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Tuesday, February 21 st Chapter 7: Sampling Distributions 7.1 How Sample Proportions Vary Around the Population Proportion • Simulation: when we use a computer to pretend to draw random samples from some population of values over and...

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##### ISBN: 9780321923271

This full solution covers the following key subjects: region, critical, against, size, Best. This expansive textbook survival guide covers 59 chapters, and 1476 solutions. The answer to “Let X have an exponential distribution with a mean of ?; that is, the pdf of X is f (x; ?) = (1/?)e?x/? , 0 < x < ?. Let X1,X2, . . . ,Xn be a random sample from this distribution.(a) Show that a best critical region for testing H0: ? = 3 against H1: ? = 5 can be based on the statistic (c) If n = 12, find a best critical region of size ? = 0.10 for testing H0: ? = 3 against H1: ? = 7.(d) If H1: ? > 3, is the common region found in parts (b) and (c) a uniformly most powerful critical region of size ? = 0.10?” is broken down into a number of easy to follow steps, and 117 words. This textbook survival guide was created for the textbook: Probability and Statistical Inference , edition: 9. Probability and Statistical Inference was written by and is associated to the ISBN: 9780321923271. Since the solution to 3E from 8.6 chapter was answered, more than 243 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 3E from chapter: 8.6 was answered by , our top Statistics solution expert on 07/05/17, 04:50AM.

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