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Need of Population Variance in finding CI with T score

Need of Population Variance in finding CI with T score

0
Votes
1
Answer

Why do we need to know the Population Variance for the finding CI in T distribution? We can find it with the formula and we can proceed through Z value insted T Value. sigma^2 = (X- Mu)^2/N we can find the population variance with above formula.

1 Answer

365 Team
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Votes

Hi Uday,
Whenever you are dealing with a small sample, you cannot find the population parameters. Therefore, you will not be able to use the Z-statistic. 
You are suggesting to apply the population formula, however, it must be applied on population data and not on the sample data that we’ve got.
Best,
Iliya