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CUET · MATHS · PYQ PAPER 2023

Consider the following statement regarding sample parameter and statistic; statistical inference and t-test:
A. There are only three types of probability sampling: stratified, simple and systematic.
B. Since a = probability of the Type-I error, then \((1-\alpha)\) is probability of not rejecting \(H_o\) when \(H_a\) is true.
C. t-value is represented as; \(t=\frac{\text { Mean - Comparison value }}{\text { Standard error }}\)
D. A sample of less than 30 is considered to be sufficient to hold Central Limit Theorem (CLT).
E. A confidence interval consists of three components: confidence level, sample statistic and margin of error.

  1. A C and E only
  2. B A, B and E only
  3. C A and E only
  4. D B, C and D only
Verified Solution

Answer & Solution

Correct Answer

(A) C and E only

Step-by-step Solution

Detailed explanation

A. Incorrect. Probability sampling includes more types like cluster sampling and multi-stage sampling. B. Incorrect. \( (1 - \alpha) \) is the probability of not rejecting \(H_o\) when \(H_o\) is true. The probability of not rejecting \(H_o\) when \(H_a\) is true is \( \beta \)…