A study was carried out to compare the writing lifetimes of four premium brands of pens. It was thought that the writing surface might affect life- time, so three different surfaces were randomly se- tected. A writing machine was used to ensure that conditions were otherwise homogeneous (e.g., con- stant pressure and a fixed angle). The accompuny- ing table shows the two lifetimes (min) obtained for each brand-surface combination. In addition, EE£x = 11,499,492 and EEx3, = 22,982,552. Writing Surface 1 2 3 709, 659 713, 726 660, 645 Brand 2 668, 685 722, 740 692, 720 of Pen 3 659, 685 666, 684 678, 750 4 698, 650 704, 666 686, 733 4112 4227 4122 4137 5413 5621 5564 16,598 Carry out an appropriate ANOVA, and state your conclusions
A study was carried out to compare the writing lifetimes of four premium brands of pens. It was thought that the writing surface might affect life- time, so three different surfaces were randomly se- tected. A writing machine was used to ensure that conditions were otherwise homogeneous (e.g., con- stant pressure and a fixed angle). The accompuny- ing table shows the two lifetimes (min) obtained for each brand-surface combination. In addition, EE£x = 11,499,492 and EEx3, = 22,982,552. Writing Surface 1 2 3 709, 659 713, 726 660, 645 Brand 2 668, 685 722, 740 692, 720 of Pen 3 659, 685 666, 684 678, 750 4 698, 650 704, 666 686, 733 4112 4227 4122 4137 5413 5621 5564 16,598 Carry out an appropriate ANOVA, and state your conclusions
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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Transcribed Image Text:A study was carried out to compare the writing
lifetimes of four premium brands of pens. It was
thought that the writing surface might affect life-
time, so three different surfaces were randomly se-
tected. A writing machine was used to ensure that
conditions were otherwise homogeneous (e.g., con-
stant pressure and a fixed angle). The accompany-
ing table shows the two lifetimes (min) obtained
for each brand-surface combination. In addition,
EEEr = 11,499,492 and EExj, = 22,982,552,
Writing Surface
1
2
3
1 709, 659 713, 726 660, 643
Brand 2 668, 685 722, 740 692, 720
of Pen 3 659, 685 666, 684 678, 750
4 698, 650 704, 666 686, 733
4112
4227
4122
4137
5413
5621
5564
16,598
Carry out an appropriate ANOVA, and state your
conclusions.
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