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a sample of 49 observations is taken from a normal population with a standard deviation of...

a sample of 49 observations is taken from a normal population with a standard deviation of 10. The sample mean is 55. Determine the 99% confidence interval for the population mean. ( round you answers 2 decimal places)

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Answer #1

We have given that,              
              
Sample mean =55      
Population standard deviation=10  
Sample size=49      
Level of significance =1-0.99=0.01      
Z critical value (by using Z table)=2.576      
              
Confidence interval formula is              


=(51.32,58.68)
          
Lower confidence limit =51.32  
Upper confidence limit =58.68  

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