In: Statistics and Probability
You intend to estimate a population mean μμ with the following sample.
| 70.6 | 
| 60 | 
| 14.6 | 
| 90.6 | 
| 16.9 | 
| 55.3 | 
| 40.3 | 
You believe the population is normally distributed. Find the 90%
confidence interval. Enter your answer as an
open-interval (i.e., parentheses)
accurate to twp decimal places (because the sample data are
reported accurate to one decimal place).
90% C.I. =
Answer should be obtained without any preliminary rounding.
However, the critical value may be rounded to 3 decimal places.
We have for given data,      
       
          
   
Sample mean =49.76      
Sample standard deviation =27.82  
Sample size =7      
Level of significance=1-0.90=0.1  
   
Degree of freedom =6      
          
   
t critical value is (by using t table)=  
1.943      
          
   
Confidence interval formula is       
       
=(29.33,70.19)