Question

If two samples are selected from the same population, under what circumstances will the two samples have exactly the same t statistic?

Answer 1

If two samples are selected from the same population, the two samples have exactly the same t statistics if the samples are same size and have the same variance and mean

The t-statistic is the ratio of the departure of the estimated value of a parameter from its hypothesized value to its standard error.

Variance is the expectation of the squared deviation of a random variable from its population mean or sample mean.

Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers

Hence, If two samples are selected from the same population, the two samples have exactly the same t statistics if the samples are same size and have the same variance and mean

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