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z- statistics is applied under two conditions:
1. when the population standard deviation is known.
2. when the sample size is large.
In the absence of the parameter sigma when we use its estimate s, the distribution of z remains no longer normal but changes to t distribution.
this modification depends on the degrees of freedom available for the estimation of sigma or standard deviation.
hope this will help u....
mona upreti..
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RafaYou use the t-distribution as opposed to the z-distribution when:
(1) you are testing a hypothesis about the population mean and the standard deviation is unknown (estimated from the sample).
(2) You are constructing a confidence interval for the population mean when the population standard deviation is unknown (estimated from the sample).
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