The personnel department of a particular company has observed that 20% ofthe people the company hires are dismissed within a year because they areunable to perform adequately. To reduce the amount of turnover, thecompany decides to administer a test to all applicants. Data collected overseveral years suggest that 85% of new hires who remain with the companypass the test, and 95% of new hires who are dismissed fail the test.(a)Obtain the fraction of new hires who pass the test will be dismissedwithin a year.(b)Obtain the fraction of new hires who fail the test will be dismissedwithin a year.(c)You are interviewing a candidate who has failed the test, but youdecide to hire the candidate anyway. Calculate the probability that thisperson will be with the company 1 year from now.

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Answered: The personnel department of a…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.6: Applications And The Perron-frobenius Theorem

Problem 25EQ

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A large manufacturing company investigated the service it received from its suppliers and discovered that, in the past, 38% of all material shipments were received late. However, the company recently installed a just-in-time system in which suppliers are linked more closely to the manufacturing process. A random sample of 150 deliveries since the just-in-time system was installed reveals that 33 deliveries were late. If we want to test whether the proportion of late deliveries was reduced signicantly at = 0:10 the null and alternative hypotheses are a. Null hypothesis (H0) b. Alternative hypothesis (HA)
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