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. 1.12 5.09 0.97 1.59 4.60 0.32 0.55 1.45 0.11 4.47 1.20 3.50 5.02 4.67 5.22 2.69 3.92 3.17 3.03 2.21 0.69 4.47 3.31 1.17 0.72 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 2.478, 1.616, and 0.295, 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 0.10. [Note: A normal probability plot of the data shows an acceptable pattern in light of the reasonably large sample size.] State the appropriate hypotheses. O Ho: H = 3 H: u > 3 O Ho: 4 = 3 H: u + 3 O Họ: u + 3 H: u = 3 O Ho: H + 3 Hg: u< 3 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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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.
1.12 5.09 0.97
1.59 4.60 0.32 0.55 1.45
0.11
4.47 1.20 3.50 5.02 4.67 5.22 2.69
3.92 3.17 3.03 2.21 0.69
4.47 3.31 1.17
0.72 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 2.478, 1.616, and 0.295, 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 0.10. [Note: A normal probability plot of the data shows an
acceptable pattern in light of the reasonably large sample size.]
State the appropriate hypotheses.
Ο Η: μ 3
Hai H > 3
O Ho: H = 3
O Ho: H+ 3
Hai H = 3
O Ho: H + 3
H: u < 3
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: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. 1.12 5.09 0.97 1.59 4.60 0.32 0.55 1.45 0.11 4.47 1.20 3.50 5.02 4.67 5.22 2.69 3.92 3.17 3.03 2.21 0.69 4.47 3.31 1.17 0.72 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 2.478, 1.616, and 0.295, 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 0.10. [Note: A normal probability plot of the data shows an acceptable pattern in light of the reasonably large sample size.] State the appropriate hypotheses. Ο Η: μ 3 Hai H > 3 O Ho: H = 3 O Ho: H+ 3 Hai H = 3 O Ho: H + 3 H: u < 3 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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