In: Statistics and Probability
A company manager thinks he is overpaying for fertilizer at $174 per ton. To find out, he collects fertilizer prices per ton from five distributors. Construct a 90% confidence interval from his results: 128, 140, 170, 166, and 156.
We have for given data,      
       
          
   
  
Sample mean =152      
Sample standard deviation =15.85  
Sample size =5      
Level of significance=1-0.90=0.1  
   
Degree of freedom =4      
          
   
t critical value is (by using t table)=  
2.132      
          
   
Confidence interval formula is       
       
=(136.89,167.11)