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→Hypothesis testing: fixed math
where
where
:<math>\bar{x}_{1} \mbox{ and } \bar{x}_{2} = \mbox{sample means}</math>
:<math>\bar{x}_{1}</math> and <math>\bar{x}_{2}</math> = sample means
:<math>s_{\bar{x}_{1}}^{2} \mbox{ and } s_{\bar{x}_{2}}^{2} &= \mbox{sample variances}</math>
:<math>s_{\bar{x}_{1}}^{2}</math> and <math>s_{\bar{x}_{2}}^{2}</math> = sample variances
The hypothetical value can be obtained from generally available tables of ''t'' values, listed under the null hypothesis probability that was selected. If the ''t'' statistic exceeds the table value, then the null hypothesis, H<sub>o</sub>, is rejected in favor of the alternate. Another way of phrasing this result is that the means are statistically different.
The hypothetical value can be obtained from generally available tables of ''t'' values, listed under the null hypothesis probability that was selected. If the ''t'' statistic exceeds the table value, then the null hypothesis, H<sub>o</sub>, is rejected in favor of the alternate. Another way of phrasing this result is that the means are statistically different.