3. Suppose that the number of system failures each month has a Poisson distribution with average 8. Thenumber of such failures was observed for a year in order to test the following hypotheses:Ho: 0 = 00VsH₁: 0 = 0₁Find an MP size-a (or level-a) test for these hypotheses.

Given that 3. Suppose that the number of system failures each month has a Poisson distribution with…

Answered: 3. Suppose that the number of system…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Example 17-20. A random sample x1, x2, X2, . , Xn is taken from a normal population with mean zero and variance o?. Examine if x}/n is a MVB estimator for o?. i = 1
An accountant believes that the percentage of accounts that will be uncollectible increases as the ages of the accounts increase. Here the age of an unpaid account is the number of days elapsed since the invoice date. To test this theory, the accountant randomly selects independent samples of 500 accounts with ages between 31 & 60 days and 500 accounts with ages between 61 & 90 days from the accounts receivable ledger dated one year ago. When the sampled accounts are examined, it is found that 10 of the 500 accounts with ages between 31 & 60 days were eventually classified as "uncollectible", while 27 of the 500 accounts with ages between 61 & 90 days were eventually classified as "uncollectible". Let pi = proportion of accounts with ages between 31 & 60 days and p2 = proportion of accounts with ages between 61 & 90 days.
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H3.
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In a Denver community, 50 cases of diabetes were reported among 15-19 years old out of a total population of 46,000 between September 1 to December 31, 2016. Ten percent (4,600) of the population were between 15-19 years old on April 1, 2016 and the size and age distribution of the population has remained constant. An investigation of the cases in the 15-19-year age group revealed that 22 of the reported cases were contracted prior to September 1. In addition, another 18 cases developed in April and May but were clinically resolved before September 1. What was the cumulative incidence rate of disease in 15-19 year olds per 1,000 population in this Denver community during the period September 1 to December 31, 2016?

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3. Suppose that the number of system failures each month has a Poisson distribution with average 8. The number of such failures was observed for a year in order to test the following hypotheses: Ho: 0 = 00 VS H₁: 0 = 0₁ Find an MP size-a (or level-a) test for these hypotheses.