It is known that the expense in computer equipment for firms having less than 250 employees is anormally distributed r.v. X. In order to estimate the mean expense, ar.s. of size n= 15 is taken, providinga mean expense of 6000 euros, and a standard deviation of 7500 euros.i)Based on the distribution of X, obtain, providing all relevant details, the theoretical expressionfor the 1-a confidence interval for the population mean expense, m, to be applied in thisspecific case.Using the information provided in this exercise, compute the 95% confidence interval for thepopulation mean expense.At the 5% confidence level, test the null hypothesis Ho :m = 10000 against alternative hypothesisii)iii)H1: m 6= 10000.Let X be a r.v. having a y(a, 3) distribution; that is, with probability density function: Ar;a) =ax'e , x >0, a >0We wish to test the null hypothesis Ho :a =against the alternative hypothesis Hị : a = 2. In order to doso, a random sample of size n = 1, X, is taken.i)Obtain the form of the most powerful critical region for this test.ii)Under the null hypothesis, what is the distribution of the test statistic X?iii)At the 5% significance level, provide the specific most powerful critical region forthis test. – 0.6 –B.

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В. It is known that the expense in computer equipment for firms having less than 250 employees is a normally distributed r.v. X. In order to estimate the mean expense, ar.s. of size n = 15 is taken, providing a mean expense of 6000 euros, and a standard deviation of 7500 euros. i) Based on the distribution of X, obtain, providing all relevant details, the theoretical expression for the 1- a confidence interval for the population mean expense, m, to be applied in this specific case. Using the information provided in this exercise, compute the 95% confidence interval for the population mean expense. ii) At the 5% confidence level, test the null hypothesis Họ :m = 10000 against alternative hypothesis H : m 6= 10000. iii)

В. It is known that the expense in computer equipment for firms having less than 250 employees is a normally distributed r.v. X. In order to estimate the mean expense, ar.s. of size n = 15 is taken, providing a mean expense of 6000 euros, and a standard deviation of 7500 euros. i) Based on the distribution of X, obtain, providing all relevant details, the theoretical expression for the 1- a confidence interval for the population mean expense, m, to be applied in this specific case. Using the information provided in this exercise, compute the 95% confidence interval for the population mean expense. ii) At the 5% confidence level, test the null hypothesis Họ :m = 10000 against alternative hypothesis H : m 6= 10000. iii)

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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