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In: Statistics and Probability

Suppose the following data are selected randomly from a population of normally distributed values. 41 51...

Suppose the following data are selected randomly from a population of normally distributed values. 41 51 43 48 44 57 54 39 40 48 45 39 40 Construct a 95% confidence interval to estimate the population mean.

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Expert Solution

We have for given data,          
              
Sample mean =45.31      
Sample standard deviation =5.9215  
Sample size =13      
Level of significance=1-0.95=0.05      
Degree of freedom =12      
              
t critical value is (by using t table)=   2.179      
              
Confidence interval formula is               


=(41.73,48.89)          
              
              
Lower confidence limit=41.73      
              
Upper confidence limit=48.89  

orchestra answered 1 year ago
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