CUET Mathematics - Which of the following is NOT correct about the Central Limit Theorem? | PYQs + Solutions

CUET Mathematics 2025 13 May Shift 2

Statistics & Applications

Medium

applied

When the sample size increases, the mean of the sample of data becomes close to the mean of the overall population.

When the sample size increases, the sampling distribution of the mean approaches a normal distribution, regardless of the shape of the parent population.

A sample size of less than 30 is considered to be sufficient to hold the Central Limit Theorem.

A sample size of 30 or more is considered to be sufficient to hold the Central Limit Theorem.

✅ Correct Option: 3

Related questions:

13 May Shift 1

Consider the following hypothesis test:

$H_0: \mu \leq 12$

$H_a: \mu > 12$

A sample of 25 provided a sample mean $\bar{x} = 14$ and a sample standard deviation $s = 4.32$ . If $t_{0.05} = 1.711$ , then which of the following is correct?

(A) The test statistic is defined as $t = \frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}}}$ .

(B) The value of the test statistic is 1.31.

(D) If the value of the t-statistic is less than $t_\alpha$ , then null hypothesis is accepted.

Choose the correct answer from the options given below:

30 May Shift 1

Match List-I with List-II

List-I	List-II
(A) The chance of observing a specific outcome in an experiment	(I) Parameter
(B) A method used to estimate the population parameters	(II) Estimation
(C) A value that describes an entire population	(III) Statistic
(D) A measurable characteristic of a sample	(IV) Probability distribution

Choose the correct answer from the options given below:

27 May Shift 1

Consider the following hypothesis test.

$H_0: \mu \leq 12$

$H_1: \mu > 12$

If a sample of 25 is taken with sample mean 15 and a sample standard deviation of 6, then the value of t-test statistic is:

CUET Mathematics 2025 13 May Shift 2 PYQs

Keyboard Shortcuts