Question

In: Statistics and Probability

A survey of 29 smokers showed that they smoke an average of 13 packs per week....

A survey of 29 smokers showed that they smoke an average of 13 packs per week. If the data follows a normal distribution with a standard deviation of 3 packs per week, find the 99% confidence interval for the true average of packs smoked per week.

Solutions

Expert Solution

We have given that,              
              
Sample mean =13   packs per week.  
Sample standard deviation =3 packs per week.  
Sample size =29      
Level of significance=1-0.99=0.01      
Degree of freedom =28      
              
t critical value is (by using t table)=2.763      
              
Confidence interval formula is   

           


=(11.46, 14.54)          
              
              
Lower confidence limit=11.46 packs per week.  
              
Upper confidence limit=14.54 packs per week.      


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