Question

You intend to estimate a population mean μμ with the following sample. 77.3 78.3 103.3 78.4...

You intend to estimate a population mean μμ with the following sample.

77.3
78.3
103.3
78.4
70.4
75.1
69.8
80.4
73.3
52.6
91.9



You believe the population is normally distributed. Find the 99.5% confidence interval. Enter your answer as an open-interval (i.e., parentheses) accurate to twp decimal places (because the sample data are reported accurate to one decimal place).

99.5% C.I. =

Answer should be obtained without any preliminary rounding. However, the critical value may be rounded to 3 decimal places.

Homework Answers

Answer #1

We have for given data,          
              
Sample mean =77.3455      
Sample standard deviation =12.79  
Sample size =11      
Level of significance=1-0.995=0.005      
Degree of freedom =10      
              
t critical value is (by using t table)=3.581      
              
Confidence interval formula is               


=(63.54,91.16)

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