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 accompanying data (from “Engineering Properties of Soil,” Soil Science, 1998: 93–102). 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 2.05 190 200 210 220 The values of the sample mean, sample standard deviation, 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 organic matter in such soil is something other than 3%? Carry out a test of the appropriate hypotheses at significance level .10. Would your conclusion be different if a 5 .05 had been used? [Note: A normal probability plot of the data shows an acceptable pattern in light of the reasonably large sample size.]
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 accompanying
data (from “Engineering Properties of Soil,” Soil
Science, 1998: 93–102).
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
190 200 210 220
The values of the sample mean, sample standard deviation, 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 organic matter
in such soil is something other than 3%? Carry out a
test of the appropriate hypotheses at significance level
.10. Would your conclusion be different if a 5 .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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