CUET · MATHS · PYQ PAPER 2025
Consider the following test:
\(H _0: \mu \leq 12\)
\(H _{ a }: \mu>12\)
A sample of 36 provided a sample mean \(\bar{x}\) = 16 and a sample standard deviation S = 4.2 Then the value of the t-test statistic is:
- A 5.32
- B 2.67
- C 34.26
- D 5.71
Answer & Solution
Correct Answer
(D) 5.71
Step-by-step Solution
Detailed explanation
\( t = \frac{\bar{x} - \mu_0}{S / \sqrt{n}} \) \( t = \frac{16 - 12}{4.2 / \sqrt{36}} \) \( t = \frac{4}{4.2 / 6} \) \( t = \frac{4}{0.7} \) \( t \approx 5.71 \)
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