Answered: USING A KRUSKAL-WALLIS NON-PARAMETRIC…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 6E

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USING A KRUSKAL-WALLIS NON-PARAMETRIC TEST , SOLVE AND INTERPRET IF THE NULL IS RETAIN OR REJECTED

Joana was insterested in the effects of five different kinds of drugs upon the mean time to complete a task.. She used 30 subjects and randomly assigned 6 of them to each drug The data represent the time in minutes to complete the task. Use a 1% level of significance to test that the population mean times to complete the task are the same with each drug. The data are given in the table.

A
28
27
30
22
18
19
19
28
28
27
19
29
30
23
30
16
29
22
D
26
26
35
24
33
33
E
19
19
24
16
27
27

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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