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Considering the following scenario, which method would be most appropriate when calculating the margin of error for the popul
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Student's t distribution is most appropriate, because the sample size n(=12) is small (n<30) so, the critical value used will be of exact sample test i.e. t-test. Also it is given that that the population is normally distributed and it's variance is known which is assumption of student's t-test so, for calculating the margin of error of mean one have to use student's t distribution.

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