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 overbarxequals=16.67mg/L and sequals=8.12mg/L

10.30
8.81
30.91
19.80
29.80
5.30
14.86
14.86
27.10
20.46
10.30
8.09
16.51
14.90
15.35
10.30
14.00
33.67
9.72
18.30

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.)

Answer 1

Sample mean-x- 16.67 Sample S.D-s-8.12 Sample size = n= 20 Significance Level = α = 0.01 Critical value = t* = 2.861 Standard Error1.8157 Margin of Error t*5.1946 Lower Limit=x-(Margin of Error)= 11.48 Upper Limit = x +(Margin of Error)-21.86 1 The 9996 C.I is( 11.48, 21.86) or 11.48 < μ < 21.86.