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A survey of several 9 to 11 year olds recorded the following amounts spent on a...

A survey of several 9 to 11 year olds recorded the following amounts spent on a trip to the mall: $19.26, $21.87, $15.83, $20.57, $19.31, $24.74, $22.82 Construct the 95% confidence interval for the average amount spent by 9 to 11 year olds on a trip to the mall. Assume the population is approximately normal.

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Answer #1

We have for given data,      
          
Sample mean =$20.629  
Sample standard deviation =$2.8835
Sample size =   7  
Level of significance=   1-0.95=0.05  
Degree of freedom =6  
          
t critical value is (by using t table)=   2.447
          
Confidence interval formula is   

=(17.962,23.296)      
          
          
          
Lower confidence limit=   $17.96
          
Upper confidence limit=   $23.30

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