CUET · MATHS · PYQ PAPER 2025
Consider a random sample of 10 students having 116 cm as mean height and standard deviation as 9.798 cm .
If the suggested mean height of the students population is 110 cm , then the \(t\)-test statistic of the sample is :
Given: \(\frac{\sqrt{10}}{9.798}=0.3227\)
- A 1.93
- B 2.84
- C 1.54
- D 1.64
Answer & Solution
Correct Answer
(A) 1.93
Step-by-step Solution
Detailed explanation
\( t = \frac{\bar{x} - \mu}{s / \sqrt{n}} \) \( t = \frac{116 - 110}{9.798 / \sqrt{10}} \) \( t = 6 \times \frac{\sqrt{10}}{9.798} \) \( t = 6 \times 0.3227 \) \( t = 1.9362 \approx 1.93 \)
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