CUET · MATHS · PYQ PAPER 2025
Consider the following hypothesis test:
\(H_0: \mu \leq 16\)
\(H_a: \mu>16\)
A sample of 25 provided a sample mean \(\bar{x}\) = 17 and a sample standard deviation S = 3.5, then the value of the test statistic in t-test is:
- A 1.03
- B 1.33
- C 1.43
- D 1.53
Answer & Solution
Correct Answer
(C) 1.43
Step-by-step Solution
Detailed explanation
\( t = \frac{\bar{x} - \mu_0}{S / \sqrt{n}} \) \( t = \frac{17 - 16}{3.5 / \sqrt{25}} \) \( t = \frac{1}{3.5 / 5} \) \( t = \frac{1}{0.7} \) \( t \approx 1.43 \)
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