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. 6.1 0.63 1.6 6.67 4.38 3.14 2.51 3.79 6.48 1.65 1.94 2.47 3.87 4.52 4.79 4.72 3.78 4.46 5.91 2.82 4.06 3.3 3.21 3.66 5.2 5.06 5.72 2.58
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.
| 6.1 | 0.63 | 1.6 | 6.67 | 4.38 | 3.14 | 2.51 | 3.79 |
| 6.48 | 1.65 | 1.94 | 2.47 | 3.87 | 4.52 | 4.79 | 4.72 |
| 3.78 | 4.46 | 5.91 | 2.82 | 4.06 | 3.3 | 3.21 | 3.66 |
| 5.2 | 5.06 | 5.72 | 2.58 |
The values of the sample mean and standard deviation are 3.894 and 1.555, 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 0.10. [Note: A normal probability plot of the data shows an acceptable pattern in light of the reasonably large
t =
P-value =
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