The following summary data on bending strength
83.   The following summary data on bending strength (lb-in/in) of joints is taken from the article Bending Strength of Corner Joints Constructed with Injec- tion Molded Splines (Forest Products J., April 1997: 89—92). Assume normal distributions.
Sample  Sample      Sample Type           Size        Mean                      SD          Â
Â
Without side coating        10        80.95        9.59
With side coating             10        63.23        5.96
(the number of trees per hectare) was recorded  for eight plots to be fertilized and eight control plots, re- sulting in the given data. MINITAB output follows.
a.   Calculate a 95% lower con dence bound for true average strength of joints with a side coating.
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Fertilizer plots       1024
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1216
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1312
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1280
|
b. Â Calculate a 95% lower prediction bound for
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1216
|
1312
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992
|
1120
|
strength of a single joint with a side coating.
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|
Control plots
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1104
|
1072
|
1088
|
1328
|
c.  Calculate an interval that, with 95% con  den
includes the strength values for at least 95%
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Â
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1376
|
1280
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1120
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1200
|
Â
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Â
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Â
|
Two sample T for fertilizer vs control
N   Mean StDev SE Mean fertilize   8     1184  126    44
control     8   1196  118     42
95% CI for mu fertilize-mu control: (-144, 120)
a. Construct a comparative boxplot and comment on any interesting features.
ce, of the population of all joints with side    coatings.
d. Calculate a 95% con dence interval for the dif- ference between true average strengths for the two types of joints.
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Posted 28 Apr 2017 10:04 AM
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