Consider a confidence interval, with confidence coefficient 1-a, for the mean of a normaldistribution with known variance o2, based on a random sample of n observations. How doesthe width of the interval change(i) as n is increased, keeping o² and a fixed;(ii) as o2 is increased, keeping n and a fixed;(iii) as a is decreased, keeping n and o2 fixed?The standard deviation of the lifetime of a certain type of electrical component is 144 hours.How large a sample of the components must be taken to be (a) 95%, (b) 99% confident thatthe error in the estimated mean lifetime of such components will not exceed (i) 15 hours, (ii) 20hours?

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Answered: Consider a confidence interval, with…

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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A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 114, and the sample standard deviation, s, is found to be 10. (a) Construct a 96% confidence interval about u if the sample size, n, is (b) Construct a 96% confidence interval about u if the sample size, n, is (c) Construct a 99% confidence interval about u if the sample size, n, is (d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed? Click the icon to view the table of areas under the t-distribution. (a) Construct a 96% confidence interval about u if the sample size, n, is 19. Lower bound:; Upper bound: (Use ascending order. Round to one decimal place as needed.) CREEP
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Do a two-sample test for equality of means assuming unequal variances. Calculate the p-value using Excel. (a-1) Comparison of GPA for randomly chosen college juniors and seniors: x⎯⎯1x¯1 = 4.5, s1 = .20, n1 = 15, x⎯⎯2x¯2 = 4.9, s2 = .30, n2 = 15, α = .025, left-tailed test.(Negative values should be indicated by a minus sign. Round down your d.f. answer to the nearest whole number and other answers to 4 decimal places. Do not use "quick" rules for degrees of freedom.) d.f. Not attempted t-calculated Not attempted p-value Not attempted t-critical Not attempted (a-2) Based on the above data choose the correct decision. Do not reject the null hypothesis Reject the null hypothesis
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The mean score on a driving exam for a group of driver’s education students is 76 points, with a standard deviation of 6 points. Apply chebychev’s theorem to the data using K=2. Interpret, At least ___% of the exam score falls between ___and ____
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Plzz solved both question (i and ii) Compulsoury... And explain
If the z-value for a given x of a random variable Z is z =1.06, and the distribution of X is normal with a mean of 60 and a standard deviation of 6, to what x-value does this z-value correspond?
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Consider a confidence interval, with confidence coefficient 1 - a, for the mean of a normal distribution with known variance o?, based on a random sample of n observations. How does the width of the interval change (i) as n is increased, keeping o? and a fixed; (ii) as o? is increased, keeping n and a fixed; (iii) as a is decreased, keeping n and o? fixed? The standard deviation of the lifetime of a certain type of electrical component is 144 hours. How large a sample of the components must be taken to be (a) 95%, (b) 99% confident that the error in the estimated mean lifetime of such components will not exceed (i) 15 hours, (ii) 20 hours?
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