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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
55.  A random sample of soil specimens was obtained, and the amount of organic matter (%) in the soil was determined for each specimen, resulting in the ac- companying data (from Engineering Properties of Soil, Soil Sci., 1998: 93—102).
Â
|
1.10 |
5.09 |
0.97 |
1.59 |
4.60 |
0.32 |
0.55 |
1.45 |
|
0.14 |
4.47 |
1.20 |
3.50 |
5.02 |
4.67 |
5.22 |
2.69 |
|
3.98 |
3.17 |
3.03 |
2.21 |
0.69 |
4.47 |
3.31 |
1.17 |
|
0.76 |
1.17 |
1.57 |
2.62 |
1.66 |
2.05 |
 |
 |
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The values of the sample mean, sample standard de- viation, and (estimated) standard error of the mean are 2.481, 1.616, and .295, respectively. Does this data suggest that the true average percentage of or- ganic matter in such soil is something other than 3%? Carry out a test of the appropriate hypotheses at signi cance level .10 by rst determining the P- value. Would your conclusion be different if a = .05 had been used? (Note: A normal probability plot of the data shows an acceptable pattern in light of the reasonably large sample size.)
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