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For the first part of your question: "http://wiki.answers.com/Q/What_three_elements_are_necessary_to_conduct_a_t-test_in_statistics_and_find_a_critical_value_and_test_for_a_scenario... This is a simple explanation, but a start. T-tests measure the difference between the means of 2 groups. The 2 groups should be of the same size. You take the difference between the means (a) and divide that by the Standard error of the difference between the means (b). a/b = t The Standard Error is the standard deviation divided by square root of the size of the population (n = number of things in the sample size). You need 2 standard errors because you have 2 populations. (To get the difference of the standard error, take the sum of the square of the standard deviation for each population, and divide the sum by n. Then take the square root of that calculation. That is the standard error of the difference of the mean. That goes into the denominator of the calculation from the 1st paragraph. FYI - variance = the square of the standard deviation.

Once you've found t, you need to look it up in table. But you also need the degrees of freedom which is the sum of n for both groups, minus 2; and you need your confidence level, like at .05.

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