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. 1.15 5.09 0.97 1.59 4.60 0.32 0.55 1.45 0.17 4.47 1.20 3.50 5.02 4.67 5.22 2.69 3.97 3.17 3.03 2.21 0.69 4.47 3.31 1.17 0.74 1.17 1.57 2.62 1.66 2.05 n USE SALT The values of the sample mean, sample standard deviation, and (estimated) standard error of the mean are 2.483, 1.613, and 0.294, 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 lovel O 1 0 TNoto : A pormnal probability plot of the data chows table pattern in light of the reasonably I mnlo cize 1

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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Question
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.
1.15 5.09 0.97
1.59 4.60 0.32
0.55 1.45
0.17 4.47
1.20 3.50 5.02 4.67
5.22 2.69
3.97 3.17 3.03 2.21
0.69 4.47 3.31
1.17
0.74
1.17
1.57 2.62 1.66 2.05
In USE SALT
The values of the sample mean, sample standard deviation, and (estimated) standard error of the mean are 2.483, 1.613, and 0.294, 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 sample size.1
Transcribed Image Text: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. 1.15 5.09 0.97 1.59 4.60 0.32 0.55 1.45 0.17 4.47 1.20 3.50 5.02 4.67 5.22 2.69 3.97 3.17 3.03 2.21 0.69 4.47 3.31 1.17 0.74 1.17 1.57 2.62 1.66 2.05 In USE SALT The values of the sample mean, sample standard deviation, and (estimated) standard error of the mean are 2.483, 1.613, and 0.294, 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 sample size.1
Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.)
t =
P-value =
Transcribed Image Text:Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.) t = P-value =
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