The following data represent the concentration of dissolved organic carbon​ (mg/L) collected from 20 samples of organic soil. Assume that the population is normally distributed. Complete parts​ (a) through​ (c) on the right.   7.40 29.80 27.10 16.51 14.00   8.81 5.20 20.46 14.90 33.67   30.91 14.86 16.87 15.35 9.72   19.80 14.86 8.09 10.30 18.30   ​ ​(a) Find the sample mean.   The sample mean is ​(Round to two decimal places as​ needed.)   ​(b) Find the sample standard deviation.   The sample standard deviation is ​(Round to two decimal places as​ needed.)   ​(c) Construct a 95% confidence interval for the population mean μ.   The 95​% confidence interval for the population mean μ is ​() () ​(Round to two decimal places as​ needed.)

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Author:Amos Gilat
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The following data represent the concentration of dissolved organic carbon​ (mg/L) collected from 20 samples of organic soil. Assume that the population is normally distributed. Complete parts​ (a) through​ (c) on the right.
 
7.40
29.80
27.10
16.51
14.00
 
8.81
5.20
20.46
14.90
33.67
 
30.91
14.86
16.87
15.35
9.72
 
19.80
14.86
8.09
10.30
18.30
 
​(a) Find the sample mean.
 
The sample mean is
​(Round to two decimal places as​ needed.)
 
​(b) Find the sample standard deviation.
 
The sample standard deviation is
​(Round to two decimal places as​ needed.)
 
​(c) Construct a
95%
confidence interval for the population mean μ.
 
The 95​% confidence interval for the population mean μ
is
​()
()
​(Round to two decimal places as​ needed.)
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