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)278260265245258 Payables (10 workers)205270220240255217266239240228Pricing (8 workers)240258233256233242244249 Days Worked Last Year by 23 Employees BudgetsPayablesPricing 278205240 260270258 265220233 245240256 258255233 217242 266244 239249 240 228 Calculate the value of Hcalc. (Round your answer to 2 decimal places.)

applying one way ANOVA on above data: Mean n Std. Dev Variances budgets 257.4 5 11.7388…

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?

Department	Days Worked
Days Worked Last Year by 23 Employees
Budgets (5 workers)	278	260	265	245	258
Payables (10 workers)	205	270	220	240	255	217	266	239	240	228
Pricing (8 workers)	240	258	233	256	233	242	244	249

Days Worked Last Year by 23 Employees

Budgets	Payables	Pricing
278	205	240
260	270	258
265	220	233
245	240	256
258	255	233
	217	242
	266	244
	239	249
	240
	228

Calculate the value of H_calc. (Round your answer to 2 decimal places.)

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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