30 The following n 16 measurements were recorded for the dr

30. The following n = 16 measurements were recorded for the drying times in hours for a brand of latex paint: 3.4 2.5 4.8 2.9 3.6 2.8 3.3 5.6 3.7 2.8 4.4 4.0 5.2 3.0 4.8 4.5 Assume normality of the measurements. What is the upper limit of a 99% confidence interval for the mean drying time?

Solution

Getting the mean and standard deviation.

X = mean = 3.83125
s = standard deviation = 0.954790553

Note that              
                      
Upper Bound = X + t(alpha/2) * s / sqrt(n)              
              
where              
              
X = sample mean =    3.83125          
t(alpha/2) = critical t for the confidence interval =    2.946712883          
s = sample standard deviation =    0.954790553          
n = sample size =    16          
df = n - 1 = 15              
Thus,              
              
Upper bound =    4.534623406 [ANSWER]