The article "Compression of Single-Wall Corrugated Shipping Containers Using Fixed and Floating Test Platens" (J. Testing and Evaluation, 1992: 318-320) describes an experiment in which several different types of boxes were compared with respect to compression strength (lb). The following STATISTICA output displays the data for each of four box types: W, X, Y, and Z. The data represent independent random samples from each box type

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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S
us
The article "Compression of Single-Wall Corrugated Shipping
Containers Using Fixed and Floating Test Platens" (J. Testing and
Evaluation, 1992: 318-320) describes an experiment in which
several different types of boxes were compared with respect to
compression strength (lb). The following STATISTICA output
displays the data for each of four box types: W, X, Y, and Z. The
data represent independent random samples from each box type
population. Since the sample sizes are all equal, this one-way
ANOVA is considered a balanced design.
They decide to make up six test specimens for each box type.
All 24 specimens are tested on a laboratory compression
strength tester in random order.
Effect
Total
box type
box type
box type
box type
Descriptive Statistics (Spreadsheet1)
Level of N
Factor
W
4999
24
6
strength
strength
Mean
Std Dev.
682.5083
83.71308
713.0000 46.55053
756.9333 40.33543
698.0667 37.20165
39.85291
X
Y
6
Z 6 562.0333
Univariate Results for Each DV (Spreadsheet1)
Sigma-restricted parameterization
Effective hypothesis decomposition
Transcribed Image Text:S us The article "Compression of Single-Wall Corrugated Shipping Containers Using Fixed and Floating Test Platens" (J. Testing and Evaluation, 1992: 318-320) describes an experiment in which several different types of boxes were compared with respect to compression strength (lb). The following STATISTICA output displays the data for each of four box types: W, X, Y, and Z. The data represent independent random samples from each box type population. Since the sample sizes are all equal, this one-way ANOVA is considered a balanced design. They decide to make up six test specimens for each box type. All 24 specimens are tested on a laboratory compression strength tester in random order. Effect Total box type box type box type box type Descriptive Statistics (Spreadsheet1) Level of N Factor W 4999 24 6 strength strength Mean Std Dev. 682.5083 83.71308 713.0000 46.55053 756.9333 40.33543 698.0667 37.20165 39.85291 X Y 6 Z 6 562.0333 Univariate Results for Each DV (Spreadsheet1) Sigma-restricted parameterization Effective hypothesis decomposition
nts
pus
Effect
Total
box type
box type
box type
box type
Effect
Intercept
box type
Error
Total
Descriptive Statistics (Spreadsheet 1)
Level of N
strength strength
Mean
Factor
Std.Dev.
om order.
24
682.5083
6
713.0000
X 6
756.9333
Y
6
698.0667
Z 6 562.0333
W
83.71308
46.55053
40.33543
37.20165
39.85291
Univariate Results for Each DV (Spreadsheet1)
Sigma-restricted parameterization
1
3
20
23
Effective hypothesis decomposition
Degr. of strength strength
Freedom SS
MS
11179623
11179623
127351
42450
33831
1692
161181
strength
p
0.000000
25.096 0.000001
strength
F
6609.182
What is the value of the absolute difference test statistic for the
post-hoc Tukey Kramer pairwise comparison of X and Z box
types? (final answer to 1 decimal place)
Transcribed Image Text:nts pus Effect Total box type box type box type box type Effect Intercept box type Error Total Descriptive Statistics (Spreadsheet 1) Level of N strength strength Mean Factor Std.Dev. om order. 24 682.5083 6 713.0000 X 6 756.9333 Y 6 698.0667 Z 6 562.0333 W 83.71308 46.55053 40.33543 37.20165 39.85291 Univariate Results for Each DV (Spreadsheet1) Sigma-restricted parameterization 1 3 20 23 Effective hypothesis decomposition Degr. of strength strength Freedom SS MS 11179623 11179623 127351 42450 33831 1692 161181 strength p 0.000000 25.096 0.000001 strength F 6609.182 What is the value of the absolute difference test statistic for the post-hoc Tukey Kramer pairwise comparison of X and Z box types? (final answer to 1 decimal place)
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