2 Sample T Test Formula. Sample standard deviation as calculated for the test statistic. Inverse cumulative probability of a t distribution at 1 α 2.
μ1 μ2 the two population means are not equal. Where and are the means of the two samples δ is the hypothesized difference between the population means 0 if testing for equal means s 1 and s 2 are the standard deviations of the two samples and n 1 and n 2 are the sizes of the two samples. Inverse cumulative probability of a t distribution at 1 α 2.
In case statistics of two samples are to be compared then a two sample t test is to be used and its formula is expressed using respective sample means sample standard deviations and sample sizes.
Mean of the second sample. Sample standard deviation as calculated for the test statistic. In case statistics of two samples are to be compared then a two sample t test is to be used and its formula is expressed using respective sample means sample standard deviations and sample sizes. The number of degrees of freedom for the problem is the smaller of n 1 1 and n 2 1.
