The following data represent the concentration of organic carbon (mg/L) collecte

Question

The following data represent the concentration of organic carbon (mg/L) collected from organic soil Construct a 99% confidence interval for the mean concentration of dissolved organic carbon collected from organic soil (Note. x 17 28 mg/L and s-7.71 mg/L) 11.40 8 81 30 91 19 80 29 80 7.40 14 86 14.86 27.10 20 46 11.40 809 16.51 14.90 15.35 15 42 16 87 33 67 972 18.30 Click the icon to view the table of areas under the t-distribution Construct a 99% confidence interval for the mean concentration of dissolved organic carbon collected from organic soil ) (Use ascending order Round to two decimal places as needed ) Enter your answer in each of the answer boxes. Type here to search

Explanation / Answer

sample mean= 17.28 mg/L

and standard deviation= 7.71 mg/L

M = 17.28
t critical = 2.86
sM = (7.71)^2/20) = 1.72

= M ± t(sM)
= 17.28 ± 2.86*1.72
= 17.28 ± 4.9323

M = 17.28, 99% CI [12.35, 22.21].

You can be 99% confident that the population mean () falls between 12.35 and 22.21.

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