Question

Construct a confidence interval for the population mean using a t-distribution: c = 95% m = 17.3 s = 4.1 n = 10

Answer 1

We have given that,          
          
Sample mean =17.3  
Sample standard deviation =4.1
Sample size =10  
Level of significance=1-0.95=0.05  
Degree of freedom =9  
          
t critical value is (by using t table)=   2.2622
          
Confidence interval formula is   


=(14.37,20.23)      
          
Therefore, We are 95% confident that population mean is between 14.37 to 20.23