Question

In: Statistics and Probability

You intend to estimate a population mean μμ with the following sample. 70.6 60 14.6 90.6...

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

70.6
60
14.6
90.6
16.9
55.3
40.3



You believe the population is normally distributed. Find the 90% 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).

90% C.I. =

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

Solutions

Expert Solution

We have for given data,              
              
Sample mean =49.76      
Sample standard deviation =27.82  
Sample size =7      
Level of significance=1-0.90=0.1      
Degree of freedom =6      
              
t critical value is (by using t table)=   1.943      
              
Confidence interval formula is               


=(29.33,70.19)


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