The records of a casualty insurance company show that, in the past, its clients have had a mean of 1.9 autoaccidents per day with a standard deviation of 0.06. The actuaries of the company claim that the standarddeviation of the number of accidents per day is no longer equal to 0.06. Suppose that we want to carry out ahypothesis test to see if there is support for the actuaries' claim. State the null hypothesis Ho and thealternative hypothesis H₁ that we would use for this test.Ho:H₁: 0μ0 0200#0S0<0

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Answered: The records of a casualty insurance…

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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BIG Corporation advertises that its light bulbs have a mean lifetime, μ , of at least 3000 hours. Suppose that we have reason to doubt this claim and decide to do a statistical test of the claim. We choose a random sample of light bulbs manufactured by BIG and find that the mean lifetime for this sample is 2840 hours and that the sample standard deviation of the lifetimes is 700 hours. Based on this information, answer the questions below. What are the null hypothesis ( H0 ) and the alternative hypothesis ( H1 ) that should be used for the test? H0 : μ is ?less thanless than or equal togreater thangreater than or equal tonot equal toequal to ?70028403000 H1 : μ is ?less thanless than or equal togreater thangreater than or equal tonot equal toequal to ?70028403000In the context of this test, what is a Type II error?A Type II error is ?rejectingfailing to reject the hypothesis that μ is ?less thanless than or equal togreater…
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