A random sample of soil specimens was obtained and the amount oforganic matter (

Question

A random sample of soil specimens was obtained and the amount oforganic matter ( % )
in the soil was determined for each specimen, resulting in thefollowing data set.

5.03 4.22 4.08   3.26 1.74   5.52   4.36   2.22  1. 81   2.22   2.62
2.15 6.14 2.02   2.64  5.65   1.37   1.6    2.5     3.67    2.71  3.1
1.19 5.52 2.25 4.55   6.07 5.72   6.27   3.74

a) Find the values of the sample mean, sample standard deviation,and (estimated) standard error
of the mean.

b) Does this data suggest that the average percentage of organicmatter in such soil is less than 4% ?

Carry out a test of the appropriate hypotheses at significancelevel .1 by first determining
the p-value.*Would your conclusion be different if =.05had been used ?
Assume that the population is normally distributed.

thanks so much in advance for any help!

Explanation / Answer

(a)x-bar=3.53, sample standard deviation= S=1.62 standard error of the mean= S/n=1.62/30=0.296 (b) The test hypothesis is Ho:>=4 Ha:

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