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In: Statistics and Probability

The following are body mass index (BMI) scores measured in 12 patients who are free of...

The following are body mass index (BMI) scores measured in 12 patients who are free of diabetes and are participating in a study of risk factors for obesity. Body mass index is measured as the ratio of weight in kilograms to height in meters squared. Generate a 95% confidence interval estimate of the true BMI.

25 27      31      33      26   28      38   41   24   32   35      40

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Expert Solution

We have for given data,              
              
Sample mean =31.67      
Sample standard deviation =5.883  
Sample size =12      
Level of significance=1-0.95=0.05      
Degree of freedom =11      
              
t critical value is (by using t table)=2.201      
              
Confidence interval formula is               


=(27.93, 35.41)          
              
              
Lower confidence limit=27.93  
              
Upper confidence limit=35.41      

orchestra answered 1 year ago
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