In: Statistics and Probability
The following data were drawn from a normal population. Find a 98.6% confidence interval for the mean.
15 18 18 22 20 9 17 9 11 16
UCL =
LCL =
We have for given data,      
          
Sample mean =15.5  
Sample standard deviation =4.5031
Sample size =10  
Level of significance=   0.014  
Degree of freedom =9  
          
t critical value is (by using t table)=   3.0408
          
Confidence interval formula is


=(11.17,19.83)      
          
          
          
Lower confidence limit=   11.17  
          
Upper confidence limit=   19.83