Answered: State University has job offers from…

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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Question

A senior accounting major at Midsouth State University has job offers from four CPA firms. To explore the offers further, she asked a sample of recent trainees from each firm: How many months did you work before receiving a raise in salary? Using the following ANOVA table, is there a difference in the mean number of months before receiving a raise among the four firms? Use the 0.01 level of significance.

Source	df	SS	MS	F	p
Analysis of Variance
Factor	3	25.89	8.63	4.27	0.031
Error	11	22.21	2.02
Total	14	48.10

a. What are the null and alternate hypotheses?

b. What is the test statistic? (Round your answer to 2 decimal places.)

c. What is the p-value? (Round your answer to 3 decimal places.)

d. What is your decision regarding the null hypothesis?

e. Interpret the result.

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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