Attempt as mock Filter by topic

CUET Mathematics 2023 PYQs15 June Shift 2. Free, no login required.

Applied Mathematics

Inferential Statistics

Medium

applied

Which of the following statements are true ?

(A) Central limit theorem states that the sampling distribution of the mean $(\bar{x})$ approaches a normal distribution as the sample size increases.

(B) As per Central Limit Theorem, when the sample size increases, the mean $(\bar{x})$ for the data becomes closer to the mean of overall population.

(C) The shape of t-distribution does not depend on degree of freedom.

Choose the correct answer from the options given below :

(A), (C) only

(B), (C) only

(A) only

(B) only

✅ Correct Option: 3

(A) Correctly states the Central Limit Theorem.

(B) Describes Law of Large Numbers, not CLT, so it is incorrect attribution.

(C) False; t-distribution shape depends on degrees of freedom.

Only (A) is correct.

Note: The available options do not include an (A) and (B) combination; we have selected the option matching the strict definition of CLT.

2023: 11 Aug Shift 1

Which of the following is a statistic ?

2026: 29 May Shift 2

Consider the following hypothesis test:

$H_0: \mu \leq 35$

$H_a: \mu > 35$

A sample of 25 provided a sample mean of 34.65. The population standard deviation is 4. The value of the t-test statistic is

2023: 30 May Shift 3

Consider the following hypothesis test :

$\mu_o : \mu \leq 26$

$\mu_a : \mu > 26$

A sample of 36 is provided with a sample mean of 25.75. The population standard deviation is 3. The value of the test statistic is :

2026: 21 May Shift 2

Statistical inference is a process through which inference about the population are made based on informations obtained from the:

2023: 22 May Shift 3

Match List - I with List - II.

	List - I		List - II
(A)	Left tailed test	(I)	$H_0 : \mu = 50$
(B)	Two tailed test	(II)	$H_1 : \mu > 50$
(C)	Null hypothesis	(III)	$H_1 : \mu < 50$
(D)	Right tailed test	(IV)	$H_1 : \mu \neq 50$

Choose the correct answer from the options given below :

2023: 23 May Shift 3

A simple random sample consists of three observations 1, 3, 5. The point estimate of the population standard deviation is :

CUET Mathematics Past Year Questions (Topic-Wise)