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Name: To defend a governmental institution against corruption, its chief off
Uploaded: 2024-03-20T07:07:12.000Z
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Description: To defend a governmental institution against corruption, its chief officer claims that less than 0.5% of the its 5000 employees accept bribes. An independent human rights team interviewed 200 people from the company and found only 3 people to have ac

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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To defend a governmental institution against corruption, its chief officer claims that less than 0.5% of the its 5000 employees accept bribes. An independent human rights team interviewed 200 people from the company and found only 3 people to have accepted bribes.
a) Test the claim of the institution chief officer. Use significance level of 5% and then 1%.
b) Find the P-Value for the test.
c) Assuming that the true mean for the corrupted employees is 10% larger than that obtained by the independent team, and using their own results, determine the number of the employees to be interviewed to detect the true mean, use an allowed error in the test of 5%.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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