What is the confidence level for the interval ?̅±1⋅44 ?/√? ?
step by step in detail, please (which table to use and how to get the value?) !!!
Solution:
The confidence interval for the mean using z distribution is given by
Sample mean Margin of error
Comparing with given interval , we can say
= 1.44
See the z table. See the column of z and go to 1.4 .then see the corresponding value in the row at .04 .This value is 1 - (/2)
So ,
1 - (/2) = 0.9251
(/2) = 0.0749
= 0.1498
Now ,
Confidence level c = 1 - = 1 - 0.1498 = 0.8502 = 85.02% = 85%
Answer : Confidence Level is 85%
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