Question

You must estimate the mean temperature (in degrees Fahrenheit) with the following sample temperatures:

33
46.8
41.8
33.4
39.5
33
44.5
34

Find the 99% confidence interval. Enter your answer as an open-interval (i.e., parentheses) accurate to two decimal places (because the sample data are reported accurate to one decimal place).

99% C.I. =

Answer 1

We have for given data,                  
                  
Sample mean =38.25          
Sample standard deviation =5.645      
Sample size =8          
Level of significance=0.01          
Degree of freedom =7          
                  
t critical value is (by using t table)=3.499          
                  
Confidence interval formula is                   


=(31.27,45.23)