CUET · MATHS · PYQ PAPER 2025
Consider the following hypothesis test:
\(\begin{aligned} & H_0: \mu=20 \\ & H_a: \mu \neq 20\end{aligned}\)
A sample of 40 provided a sample mean of 19. The standard deviation is 3. Then the value of the t-test statistic is:
- A -1.8
- B -2.1
- C 2.1
- D 1.8
Answer & Solution
Correct Answer
(B) -2.1
Step-by-step Solution
Detailed explanation
\(t = \frac{\bar{x} - \mu_0}{\sigma / \sqrt{n}}\) \(t = \frac{19 - 20}{3 / \sqrt{40}}\) \(t = \frac{-1}{3 / 6.3246}\) \(t = \frac{-1}{0.4743}\) \(t = -2.1\)
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