CUET Mathematics - Let two independent random samples of sizes n_1 and n_2 respectively have been drawn from the same normal population. Let x_1 and x_2 be the means and let s_1 and s_2 be their standard deviations. In order to test whether the the two sample means x_1 and x_2 differ significantly or not, the t-test statistic is given by | PYQs + Solutions

CUET Mathematics 2025 15 May Shift 2

Statistics & Applications

Medium

applied

$t = \frac{\bar{x}_1 - \bar{x}_2}{\sqrt{\frac{1}{n_1} + \frac{1}{n_2}}} ; s = \sqrt{\frac{n_1s_1^2 + n_2s_2^2}{n_1 + n_2 - 2}}$

$t = \frac{\bar{x}_1 - \bar{x}_2}{s\sqrt{\frac{1}{n_1^2} + \frac{1}{n_2^2}}} ; s = \sqrt{\frac{n_1^2s_1^2 + n_2^2s_2^2}{n_1 + n_2 - 2}}$

$t = \frac{\bar{x}_1 - \bar{x}_2}{\sqrt{\frac{1}{n_1} + \frac{1}{n_2}}} ; s = \sqrt{\frac{n_1s_1^2 + n_2s_2^2}{n_1 + n_2 - 2}}$

$t = \frac{\bar{x}_1 - \bar{x}_2}{s\sqrt{\frac{1}{n_1^2} + \frac{1}{n_2^2}}} ; s = \sqrt{\frac{n_1s_1^2 + n_2s_2^2}{n_1 + n_2 - 2}}$

✅ Correct Option: 3

CUET Mathematics 2025 15 May Shift 2 PYQs