5.28. A manufacturer of laundry produc the performance of a newly formulated s new formulation is compared to the origina respect to its ability to remove a standard t- a test article of cotton cloth using a factori= other factors in the experiment are the nu test article is washed (1 or 2) and whether booster is used. The response variable is th washing (12 is the darkest, 0 is the light shown in the following table. Number of Washings 1 Formulation Booster Yes No New 6, 5 6, 5 Original 10,9 11, 11

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(a) Conduct an analysis of variance. Using a = 0.05.
what conclusions can you draw?
5.30.
board feel on a computer (crisp or mushy) and the size of the
keys (small. medium, or large). The response variable is typ-
ing speed. Three replicates of the experiment were performed.
The experimental design and the data are as follow.
An experiment was performed to investigate the key-
hmer
(b) Investigate model adequacy by plotting the residuals.
A manufacturer of laundry products is investigating
5.28.
the performance of a newly formulated stain remover. The
new formulation is compared to the original formulation with
respect to its ability to remove a standard tomato-like stain in
a test article of cotton cloth using a factorial experiment. The
other factors in the experiment are the number of times the
test article is washed (1 or 2) and whether or not a detergent
booster is used. The response variable is the stain shade after
washing (12 is the darkest, 0 is the lightest). The data are
shown in the following table.
reatments
Keyboard Feel
Key Size
Mushy
Crisp
er ot replication
Small
31, 33, 35
36, 40, 41
Medium
36, 35, 33
40. 41, 42
Large
37, 34, 33
38. 36, 39
of
(a) Analyze the data from this experiment.
ermints
(b) Investigate model adequacy by constructing appropri-
ate residual plots.
(c) What conclusions can you draw?
Number of
Number of
Washings
Washings
1
An article in Quality Progress (May 2011, pp. 42-48)
describes the use of factorial experiments to improve a silver
powder production process. This product is used in condue-
tive pastes to manufacture a wide variety of products ranging
from silicon wafers to elastic membrane switches. Powder
density (g/cm) and surface area (cm'/g) are the two critical
5.31.
Formulation
Booster
Booster
Yes
No
Yes
No
New
6, 5
6, 5
3, 2
4, 1
Original
10, 9
11, 11
10, 9
9, 10
Transcribed Image Text:(a) Conduct an analysis of variance. Using a = 0.05. what conclusions can you draw? 5.30. board feel on a computer (crisp or mushy) and the size of the keys (small. medium, or large). The response variable is typ- ing speed. Three replicates of the experiment were performed. The experimental design and the data are as follow. An experiment was performed to investigate the key- hmer (b) Investigate model adequacy by plotting the residuals. A manufacturer of laundry products is investigating 5.28. the performance of a newly formulated stain remover. The new formulation is compared to the original formulation with respect to its ability to remove a standard tomato-like stain in a test article of cotton cloth using a factorial experiment. The other factors in the experiment are the number of times the test article is washed (1 or 2) and whether or not a detergent booster is used. The response variable is the stain shade after washing (12 is the darkest, 0 is the lightest). The data are shown in the following table. reatments Keyboard Feel Key Size Mushy Crisp er ot replication Small 31, 33, 35 36, 40, 41 Medium 36, 35, 33 40. 41, 42 Large 37, 34, 33 38. 36, 39 of (a) Analyze the data from this experiment. ermints (b) Investigate model adequacy by constructing appropri- ate residual plots. (c) What conclusions can you draw? Number of Number of Washings Washings 1 An article in Quality Progress (May 2011, pp. 42-48) describes the use of factorial experiments to improve a silver powder production process. This product is used in condue- tive pastes to manufacture a wide variety of products ranging from silicon wafers to elastic membrane switches. Powder density (g/cm) and surface area (cm'/g) are the two critical 5.31. Formulation Booster Booster Yes No Yes No New 6, 5 6, 5 3, 2 4, 1 Original 10, 9 11, 11 10, 9 9, 10
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