Question

Use the following sample to estimate a population mean μμ.

53.2
48.4
59.1
83.2
63.7
50.8
74
62.6
56.4
56.2
51.6

Assuming the population is normally distributed, find the 99.5% confidence interval about the population mean. Enter your answer as an open-interval (i.e., parentheses) accurate to two decimal places.

99.5% C.I. =

Answer 1

We have for given data,              
              
Sample mean =59.93      
Sample standard deviation =10.578  
Sample size =11      
Level of significance=1-0.995=0.005      
Degree of freedom =10      
              
t critical value is (by using t table)=   3.581      
              
Confidence interval formula is               


=(48.51,71.35)          

99.5% C.I. =(48.51,71.35)