Listed below are measured amount of lead in micrograms per c

Listed below are measured amount of lead (in micrograms per cubic meter, or mug/m^3) in the EPA has an air quality stand red mug/m^3. The measurements shown below were recorded at a building on different days. What is the confidence interval for the population moan mu?

Solution

Note that              
              
Lower Bound = X - t(alpha/2) * s / sqrt(n)              
Upper Bound = X + t(alpha/2) * s / sqrt(n)              
              
where              
alpha/2 = (1 - confidence level)/2 =    0.025          
X = sample mean =    1.633333333          
t(alpha/2) = critical t for the confidence interval =    2.570581836          
s = sample standard deviation =    1.869006866          
n = sample size =    6          
df = n - 1 =    5          
Thus,              
              
Lower bound =    -0.328069083          
Upper bound =    3.59473575          
              
Thus, the confidence interval is              
              
(   -0.328069083   ,   3.59473575   ) [ANSWER]