In: Statistics and Probability
Use the given degree of confidence and sample data to construct a confidence interval for the population mean
mu
.
Assume that the population has a normal distribution.
Thirty randomly selected students took the calculus final. If the sample mean was 95 and the standard deviation was 6.6, construct a 99% confidence interval for the mean score of all students.
We have given that,      
       
          
   
Sample mean =95      
Sample standard deviation =6.6  
Sample size =30      
Level of significance=1-0.99=0.01  
   
Degree of freedom =29      
          
   
t critical value is (by using t table)=2.756  
   
          
   
Lower confidence limit=   91.68
          
   
Upper confidence limit=   98.32