Question

In: Statistics and Probability

Organic chemists often purify organic compounds by a method known as fractional crystallization. An experimenter wanted...

Organic chemists often purify organic compounds by a method known as fractional crystallization. An experimenter wanted to prepare and purify 4.85 g of aniline. Ten 4.85 g quantities of aniline were individually prepared and purified to acetanilide. The following dry yields were recorded.

3.86    3.79    3.90    3.87    3.92
3.34    3.62    4.01    3.71    3.81

Estimate the mean grams of acetanilide that can be recovered from an initial amount of 4.85 g of aniline. Use a 95% confidence interval. (Round your answers to three decimal places.)
g to  g

Solutions

Expert Solution

We have for given data,              
              
Sample mean =3.783      
Sample standard deviation =0.1904  
Sample size =10      
Level of significance=1-0.95=0.05      
Degree of freedom =9      
              
t critical value is (by using t table)=   2.262      
              
Confidence interval formula is               


=(3.647, 3.919)          
              
              
Lower confidence limit=3.647  
              
Upper confidence limit=3.919  


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