CUET · MATHS · PYQ PAPER 2023
The following data is available for two independent samples:
| SAMPLE-1 | SAMPLE-2 | |
| sample size | 8 | 10 |
| sample mean | 191 | 199 |
| sample standard deviation | 10 | 12 |
- A \(+1.54\)
- B \(-1.54\)
- C \(-1.74\)
- D \(-1.10\)
Answer & Solution
Correct Answer
(B) \(-1.54\)
Step-by-step Solution
Detailed explanation
\( t = \frac{\bar{x}_1 - \bar{x}_2}{\sqrt{\frac{s_1^2}{n_1} + \frac{s_2^2}{n_2}}} \) \( t = \frac{191 - 199}{\sqrt{\frac{10^2}{8} + \frac{12^2}{10}}} \) \( t = \frac{-8}{\sqrt{\frac{100}{8} + \frac{144}{10}}} = \frac{-8}{\sqrt{12.5 + 14.4}} = \frac{-8}{\sqrt{26.9}} \)…
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