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A study was carried out to compare the writing lifetimes of four premium brands of pens (factor A). It was thought that the writing surface (factor B) might affect lifetime, so three different surfaces were randomly selected. A writing machine was used to ensure that conditions were otherwise homogeneous (e.g., constant pressure and a fixed angle). The accompanying table shows the two lifetimes (min) obtained for each brand-surface combination. Brand of Pen A B AB 1 2 3 4 The hypotheses are as follows. HOG: G² = 0 H₂G: G²>0 Error Total Writing Surface 707, 659 668, 685 659, 685 698, 650 5411 2 713, 726 722, 740 668, 684 704, 666 5623 SS HOA: 1=₂=3 = 4 = 0 HOB: 08² = 0 HaA: at least one a, * 0 HaB: 8² > 0 Carry out an appropriate ANOVA. (Use a = 0.05. Round your answers to two decimal places.) Source df 660, 645 692, 720 678, 750 688, 733 5566 MS XI.. 4110 4227 4124 4139 16,600 Test for an interaction. Find the critical value. (Round your answer to two decimal places.) Fa,1³2

A study was carried out to compare the writing lifetimes of four premium brands of pens (factor A). It was thought that the writing surface (factor B) might affect lifetime, so three different surfaces were randomly selected. A writing machine was used to ensure that conditions were otherwise homogeneous (e.g., constant pressure and a fixed angle). The accompanying table shows the two lifetimes (min) obtained for each brand-surface combination. Brand of Pen A B AB 1 2 3 4 The hypotheses are as follows. HOG: G² = 0 H₂G: G²>0 Error Total Writing Surface 707, 659 668, 685 659, 685 698, 650 5411 2 713, 726 722, 740 668, 684 704, 666 5623 SS HOA: 1=₂=3 = 4 = 0 HOB: 08² = 0 HaA: at least one a, * 0 HaB: 8² > 0 Carry out an appropriate ANOVA. (Use a = 0.05. Round your answers to two decimal places.) Source df 660, 645 692, 720 678, 750 688, 733 5566 MS XI.. 4110 4227 4124 4139 16,600 Test for an interaction. Find the critical value. (Round your answer to two decimal places.) Fa,1³2

MATLAB: An Introduction with Applications
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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A study was carried out to compare the writing lifetimes of four premium brands of pens (factor A). It was thought that the writing surface (factor B) might affect lifetime, so three different surfaces were randomly selected. A writing machine was used to ensure that conditions were otherwise homogeneous (e.g., constant pressure and a fixed angle). The accompanying table shows the two lifetimes (min) obtained for each brand-surface combination. A B Brand of Pen AB Error Total 1 2 3 4 = 1 Writing Surface 707, 659 668, 685 659, 685 698, 650 5411 SS 2 713, 726 722, 740 668, 684 704, 666 5623 The hypotheses are as follows. 2=0 HOG: G² HaG: G² > 0 HOA: α₁ = α₂ = α3 = 4 = 0 HOB: 0B² = 0 HaA: at least one a, # 0 2 HaB: >0 Carry out an appropriate ANOVA. (Use a = 0.05. Round your answers to two decimal places.) Source df f 3 660, 645 692, 720 678, 750 688, 733 5566 MS XI.. 4110 4227 4124 4139 16,600 Test for an interaction. Find the critical value. (Round your answer to two decimal places.) F12
Transcribed Image Text:A study was carried out to compare the writing lifetimes of four premium brands of pens (factor A). It was thought that the writing surface (factor B) might affect lifetime, so three different surfaces were randomly selected. A writing machine was used to ensure that conditions were otherwise homogeneous (e.g., constant pressure and a fixed angle). The accompanying table shows the two lifetimes (min) obtained for each brand-surface combination. A B Brand of Pen AB Error Total 1 2 3 4 = 1 Writing Surface 707, 659 668, 685 659, 685 698, 650 5411 SS 2 713, 726 722, 740 668, 684 704, 666 5623 The hypotheses are as follows. 2=0 HOG: G² HaG: G² > 0 HOA: α₁ = α₂ = α3 = 4 = 0 HOB: 0B² = 0 HaA: at least one a, # 0 2 HaB: >0 Carry out an appropriate ANOVA. (Use a = 0.05. Round your answers to two decimal places.) Source df f 3 660, 645 692, 720 678, 750 688, 733 5566 MS XI.. 4110 4227 4124 4139 16,600 Test for an interaction. Find the critical value. (Round your answer to two decimal places.) F12
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