Question

In: Statistics and Probability

In a study of the infestation of a particular species of lobster by two types of...

In a study of the infestation of a particular species of lobster by two types of barnacles, the body lengths (in millimeters) of 10 randomly selected lobsters are measured.

80    67    65    62    58    60    58    54    53    49

Find a 95% confidence interval for the mean body length of this species of lobster. (Round your answers to three decimal places.)

mm to  mm

Solutions

Expert Solution

We have for given data,          
              
Sample mean =60.6      
Sample standard deviation =8.75  
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               


=(54.341, 66.859)          
              
              
Lower confidence limit=   54.341  
              
Upper confidence limit=   66.859      
              


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