1. Use the Neymann-Pearson lemma to develop a best test for H,: B- 6 versusHa:ß=4 for the exponential pdf with mean B.f(x)=1/B exB x>0 Assume n=6 Find the rejection region for a=0.05 |

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Answered: 1. Use the Neymann-Pearson lemma to…

1. Use the Neymann-Pearson lemma to develop a best test for Ho: B= 6 versus Ha:ß=4 for the exponential pdf with mean ß. f(x)=1/B exB x>0_Assume n=6 Find the rejection region for a=0.05 |

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Exponential And Logarithmic Functions

Section5.5: Exponential And Logarithmic Models

Problem 4ECP

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Concept explainers

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!

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1. Use the Neymann-Pearson lemma to develop a best test for H,: B- 6 versus
Ha:ß=4 for the exponential pdf with mean B.
f(x)=1/B exB x>0 Assume n=6 Find the rejection region for a=0.05 |

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