The effective life of a component used in a jet-turbine aircraft engine is a random variable with mean5000 hours and standard deviation 40 hours. The distribution of effective life is fairly close to a normalcomponent that increases the mean life to 5030 hours and decreases the standard deviation to 30 hours.distribution. The engine manufacturer introduces an improvement into the manufacturing process for thisSuppose that a random sample of n₁ = 16 components is selected from the "Old" process and a randomsample of n₂ = 25 components is selected from the "Improved" process.What is the probability that difference in the two-sample meansthat the old and improved processes can be regarded as independent populations.1X₂X₁ is at least 15 hours? Assume

Given Population mean μ1=5000, population mean μ2=5030 Population standard deviations σ1=40,…

Answered: The effective life of a component used…

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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An SRS of size 10 is drawn from a population that has a normal distribution. The sample has a mean of 139 and a standard deviation of 7. Give the standard error of the mean 7 , 1
A psychologist wants to test whether there is any difference in puzzle-solving abilities between boys and girls. Independent samples of eleven boys and seven girls were chosen at random. The boys took a mean of 37 minutes to solve a certain puzzle, with a standard deviation of 4.8 minutes. The girls took a mean of 35 minutes to solve the same puzzle, with a standard deviation of 4.5 minutes. Assume that the two populations of completion times are normally distributed, and that the population variances are equal. Can we conclude, at the 0.10 level of significance, that the mean puzzle-solving times for boys, μ1 is greater than the mean puzzle-solving times for girls, μ2? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. a. State the null hypothesis H0 and the alternative hypothesis H1. b. Find the value of the test statistic. (Round to three or more decimal…
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