A supervisor of a manufacturing plant is interested in relating the average number of defects produced per day to two factors: the operator working the machine and the machine itself. The supervisor randomly assigns each operator to use each machine for three days and records the number of defects produced per day. Is there sufficient evidence to conclude that there is a significant difference among the average number of defects produced per day for the different operators? Number of Defects Produced per Day Operator AOperator BMachine A9922883311556677Machine B0099115511552255Machine C4477661199005500 ANOVASource of VariationSSSSdfdfMSMSMachine11.083311.0833225.54175.5417Operator0.37500.3750110.37500.3750Interaction87.750087.75002243.875043.8750Within114.7500114.750018186.37506.3750Total213.9583213.95832323 Step 1 of 2 : Find the value of the test statistic for testing the difference among the average number of defects produced per day for the different operators. Round your answer to two decimal places, if necessary.

The objective of the question is to determine if there is a significant difference among the average…

Answered: A supervisor of a manufacturing plant…

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 supervisor of a manufacturing plant is interested in relating the average number of defects produced per day to two factors: the operator working the machine and the machine itself. The supervisor randomly assigns each operator to use each machine for three days and records the number of defects produced per day. Is there sufficient evidence to conclude that there is a significant difference among the average number of defects produced per day for the different operators?

Number of Defects Produced per Day

	Operator A	Operator B
Machine A	99	22
88	33
11	55
66	77
Machine B	00	99
11	55
11	55
22	55
Machine C	44	77
66	11
99	00
55	00

ANOVA

Source of Variation	SSSS	dfdf	MSMS
Machine	11.083311.0833	22	5.54175.5417
Operator	0.37500.3750	11	0.37500.3750
Interaction	87.750087.7500	22	43.875043.8750
Within	114.7500114.7500	1818	6.37506.3750
Total	213.9583213.9583	2323

Step 1 of 2 :

Find the value of the test statistic for testing the difference among the average number of defects produced per day for the different operators. Round your answer to two decimal places, if necessary.

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