Question

In: Statistics and Probability

Test scores of 9 randomly selected students are: 83, 73, 62, 63, 71, 77, 59, 92,77...

Test scores of 9 randomly selected students are: 83, 73, 62, 63, 71, 77, 59, 92,77 Compute the 99% confident interval of the true mean.

Solutions

Expert Solution

We have for given data,              
              
Sample mean =73      
Sample standard deviation =10.69  
Sample size =9      
Level of significance=   1-0.99=0.01      
Degree of freedom =8      
              
t critical value is (by using t table)=3.355      
              
Confidence interval formula is               


=(61.05,84.96)          
              
              
Lower confidence limit=61.05  
              
Upper confidence limit=   84.96      


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