Answered: Two varieties of wheat are each planted…

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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Two varieties of wheat are each planted in ten localities with differences in yield as follows: 2, 4, 2, 2, 3, 6, 2, 2, 4, 3. Test the hypothesis that the population means difference is zero, using 0.02 level of significance.
The following data show initial training program performance and a job rating by a supervisor 12 months later for a sample 400 employees of a telephone company:

Training program perform
Job Rating
Below average
Average
Above average

Below average
63
49
9

Average
60
79
28

Above average
29
60
23

Is there any relationship between performance in the training program and job rating? Use the 1% level of significance

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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