Answered: A medical examiner believes that the…

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 medical examiner believes that the distribution of men and women are identical when recording the number of illnesses over a year as opposed to the distributions being different. A random sample of 300 individuals is taken and a large-sample Wilcoxon Rank Sum Test is conducted. Sample 1 consists of males with n = 107 and the sum of ranks for that sample equaling 14,059.5. Sample 2 consists of females with n = 193 and the sum of ranks for that sample equaling 31,090.5. Conduct the two-tailed hypothesis test at the 0.05 level. Do not show your work, but report the value of the mean, the value of the standard deviation, the value of the z test statistic, the decision rule, and the final test results.

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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