The XYZ Corporation is interested in possible differences in days worked by salaried employees in three departments in the financial area. A survey of 23 randomly chosen employees reveals the data shown below. Because of the casual sampling methodology in this survey, the sample sizes are unequal. Research question: Are the mean annual attendance rates the same for employees in these three departments? Days Worked Last Year by 23 EmployeesDepartmentDays WorkedBudgets (5 workers)278261243242255 Payables (10 workers)202268219239257219264238238228Pricing (8 workers)239258231255235242242251 Click here for the Excel Data File Fill in the missing data. (Round your p-value to 4 decimal places, mean values to 1 decimal place, and other answers to 4 decimal places.) GroupMeannStd. DevVariancesBudgets Payables Pricing Total One-Factor ANOVASourceSSdfMSFp-valueTreatment Error Total

State the hypotheses. That is, the mean annual attendance rates the same for employees in these…

Answered: The XYZ Corporation is interested in…

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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The XYZ Corporation is interested in possible differences in days worked by salaried employees in three departments in the financial area. A survey of 23 randomly chosen employees reveals the data shown below. Because of the casual sampling methodology in this survey, the sample sizes are unequal. Research question: Are the mean annual attendance rates the same for employees in these three departments?

Days Worked Last Year by 23 Employees
Department	Days Worked
Budgets (5 workers)	278	261	243	242	255
Payables (10 workers)	202	268	219	239	257	219	264	238	238	228
Pricing (8 workers)	239	258	231	255	235	242	242	251

Click here for the Excel Data File

Fill in the missing data. (Round your p-value to 4 decimal places, mean values to 1 decimal place, and other answers to 4 decimal places.)

Group	Mean	n	Std. Dev	Variances
Budgets
Payables
Pricing
Total

One-Factor ANOVA
Source	SS	df	MS	F	p-value
Treatment
Error
Total

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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