A laboratory testing of five samples on the content of certainwater-quality indi

Question

A laboratory testing of five samples on the content of certainwater-quality indicator results in the following values: 3.41,3.06, 2.94, 3.27, and 3.32 mg/l. a) Find the 95% confidence interval for the mean content ofthis indicator. b) What assumptions are made? A laboratory testing of five samples on the content of certainwater-quality indicator results in the following values: 3.41,3.06, 2.94, 3.27, and 3.32 mg/l. a) Find the 95% confidence interval for the mean content ofthis indicator. b) What assumptions are made?

Explanation / Answer

(a) xbar=3.2, s=0.19, n=5 =0.05, t(0.025,df=n-1=4)=2.78 (check student t table) The 95% CI is xbar±t*s/n --> 3.2 ± 2.78*0.19/sqrt(5) --> (2.96, 3.44) (b) Normal distribution

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