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
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 32PPS
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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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