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bachelor in business administration
Polytechnic State University Sanluis
Jan-2006 - Nov-2010
CPA
Polytechnic State University
Jan-2012 - Nov-2016
Professor
Harvard Square Academy (HS2)
Mar-2012 - Present
Concrete Strength Researchers Olivia Carrillo-Gamboa and Richard Gunst presented the following data in their article, “Measurement-Error-Model Collinearities.” The da a represent the compressive strength (in pounds per square inch) of a random sample of concrete 2 days, 7 days, and 28 days after pouring.
|
Concrete |
2 Days |
7 Days |
28 Days |
|
1 |
2830 |
3505 |
4470 |
|
2 |
3295 |
3430 |
4740 |
|
3 |
2710 |
3670 |
5115 |
|
4 |
2855 |
3355 |
4880 |
|
5 |
2980 |
3985 |
4445 |
|
6 |
3065 |
3630 |
4080 |
|
7 |
3765 |
4570 |
5390 |
(a) Normal probability plots for each treatment indicate that the requirement of normality is satisfied. Verify that the requirement of equal population variances for each treatment is satisfied.
(b) Is there sufficient evidence that the mean strength is different among the three days at the α = 0.05 level of significance?
(c) If the null hypothesis from part (b) was rejected, use Tukey’s test to determine which pairwise means differ using a family wise error rate of α = 0.05.
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