EBK BUSINESS STATISTICS
7th Edition
ISBN: 8220102743984
Author: STEPHAN
Publisher: PEARSON
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An experiment was conducted to study the extrusion process of biodegradable packaging foam. Two of the factors considered for their effect on
the unit density (mg/ml) were the die temperature (145 °C vs. 155 °C) and the die diameter (3 mm vs. 4 mm). The results are stored in [Packaging
Foam 1]. Source: Data extracted from W. Y. Koh, K. M. Eskridge, and M. A. Hanna, "Supersaturated Split-Plot Designs," Journal of Quality
Technology, 45, January 2013, pp. 61-72.At the 0.05 level of significance,
3mm 4mm
57.22
145
72.54
145 53.60 66.70
145 48.13
49.28
145 69.89 44.14
145 62.78
58.37
145 55.18
53.98
155 57.50
63.03
155 54.17 46.73
155 73.86 60.17
155 90.28 46.78
155 88.19 43.27
155 82.61 56.93
Die Temperature
a. is there an interaction between die temperature and die diameter?
b. is there an effect due to die temperature?
c. is there an effect due to die diameter?
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e. What can you conclude about the effect of die…
Shortleaf Pines. The ability to estimate the volume of a tree based on a simple measurement, such as the diameter of the tree, is important to the lumber industry, ecologists, and conservationists. Data on volume, in cubic feet, and diameter at breast height, in inches, for 70 shortleaf pines was reported in C. Bruce and F. X. Schumacher’s Forest Mensuration (New York: McGraw-Hill, 1935) and analyzed by A. C. Akinson in the article “Transforming Both Sides of a Tree” (The American Statistician, Vol. 48, pp. 307–312). The data are provided on the WeissStats site.
a. obtain and interpret the standard error of the estimate.
b. obtain a residual plot and a normal probability plot of the residuals.
c. decide whether you can reasonably consider Assumptions 1–3 for regression inferences met by the two variables under consideration.
The department of zoology at the Virginia Polytechnic Institute and State University carried out a study to determine if there is a significant difference in the density of organisms in two different stations located in Cedar Run, a secondary river that is located in the river basin. Roanoke. Drainage from a sewage treatment plant and overflow from the Federal Mogul Corporation sedimentation pond enter the flow near the source of the river. The following data give the density measurements, in numbers of organisms per square meter, at the two different collecting stations.
Number of organisms per square meter
Station 1
Station 2
5030
2800
13700
4670
10730
6890
11400
7720
860
7030
2200
7330
4250
2810
15040
1330
4980
3320
11910
1230
8130
2130
26850
2190
17660
22800
1130
1690
With a significance level of 0.05, can we conclude that the densities are the same in the two…
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