The following data represent the concentration of organic ca

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=17.84 mg/L and s=7.81 mg/L)

5.30 29.80 27.10 16.51 11.40 8.81 16.87 20.46 14.90 33.67 30.91 14.86 22.49 15.35 9.72 19.80 14.86 8.09 17.50 18.30

Consturct 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)

Solution

CI = x ± t a/2 * (sd/ Sqrt(n))
Where,
x = Mean
sd = Standard Deviation
a = 1 - (Confidence Level/100)
ta/2 = t-table value
CI = Confidence Interval
Mean(x)=17.84
Standard deviation( sd )=7.81
Sample Size(n)=20
Confidence Interval = [ 17.84 ± t a/2 ( 7.81/ Sqrt ( 20) ) ]
= [ 17.84 - 2.861 * (1.746) , 17.84 + 2.861 * (1.746) ]
= [ 12.844,22.836 ]