Question

In: Statistics and Probability

(7) A random sample of 36 college graduates revealed that they worked an average of 5...

(7) A random sample of 36 college graduates revealed that they worked an average of 5 years on the job before being promoted. The sample standard deviation is 2.0 years. Using the 95 degree of confidence, what is the confidence interval for the population mean?

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Expert Solution

We have given that,          
          
Sample mean =5  
Sample standard deviation =2
Sample size =36  
Level of significance=1-0.95=0.05  
Degree of freedom =35  
          
t critical value is (by using t table)=2.0301  
          
Confidence interval formula is   

=(4.32,5.68)      
          
          
          
Lower confidence limit=   4.32  
          
Upper confidence limit=   5.68  

Therefore, 95% confidence interval for population mean is between 4.32 years to 5.68 years.


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