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In: Statistics and Probability

Rebecca wishes to estimate the mean number of miles that her Nissan Versa can drive on...

Rebecca wishes to estimate the mean number of miles that her Nissan Versa can drive on a full tank of gas. She fills up her car with regular unleaded gasoline from the same station 9 times and records the number of miles that she drives until her low tank indicator light comes on. Construct a 96% confidence interval for the mean number of miles that she can drive on a full tank of gas until the low tank indicator light will turn on. Round to the nearest 0.1 miles

203 325 119 345 405 300 450 267 472

Solutions

Expert Solution

We have for given data,              
              
Sample mean =320.67      
Sample standard deviation =114.66  
Sample size =9      
Level of significance=1-0.96=0.04      
Degree of freedom =8      
              
t critical value is (by using t table)=   2.449      
              
Confidence interval formula is               


=(227.0692, 414.2708)          
              
              
Lower confidence limit=227.1  
              
Upper confidence limit=414.3  

orchestra answered 2 years ago
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