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A botanist wishes to estimate the typical number of seeds for a certain fruit. She samples...

A botanist wishes to estimate the typical number of seeds for a certain fruit. She samples 36 specimens and counts the number of seeds in each. Use her sample results (mean = 76.3, standard deviation = 10.8) to find the 99% confidence interval for the number of seeds for the species. Enter your answer as an open-interval (i.e., parentheses) accurate to 1 decimal place.  

99% C.I. =

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Expert Solution

We have given that,          
          
Sample mean =76.3  
Sample standard deviation =10.8
Sample size =36  
Level of significance=   0.01  
Degree of freedom =35  
          
t critical value is (by using t table)=   2.724
          
Confidence interval formula is   


=(71.4,81.2)      
          
          
          
Lower confidence limit=   71.4  
          
Upper confidence limit=   81.2

orchestra answered 3 years ago
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