Analysis of several plant-food preparations for potassium ion yielded the following data: Sample Percent K* 1 6.02, 6.04, 5.88, 6.06, 5.82 2 7.48, 7.47, 7.29 3.90, 3.96, 4.16, 3.96 4.48, 4.65, 4.68, 4.42 5.29, 5.13, 5.14, 5.28, 5.20 3 4 The preparations were randomly drawn from the same population. a. Find the mean and standard deviation s for each sample.

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Analysis of several plant-food preparations for potassium ion yielded the
following data:
Sample Percent K*
6.02, 6.04, 5.88, 6.06, 5.82
7.48, 7.47, 7.29
1
2
3.90, 3.96, 4.16, 3.96
4.48, 4.65, 4.68, 4.42
3
4
5
5.29, 5.13, 5.14, 5.28, 5.20
The preparations were randomly drawn from the same population.
a. Find the mean and standard deviation s for each sample.
b. Obtain the pooled value spooled-
c. Why is spooled a better estimate of s than the standard deviation from any one
sample?
Transcribed Image Text:Analysis of several plant-food preparations for potassium ion yielded the following data: Sample Percent K* 6.02, 6.04, 5.88, 6.06, 5.82 7.48, 7.47, 7.29 1 2 3.90, 3.96, 4.16, 3.96 4.48, 4.65, 4.68, 4.42 3 4 5 5.29, 5.13, 5.14, 5.28, 5.20 The preparations were randomly drawn from the same population. a. Find the mean and standard deviation s for each sample. b. Obtain the pooled value spooled- c. Why is spooled a better estimate of s than the standard deviation from any one sample?
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