CUET Mathematics - Consider the following hypothesis test:- H₀: μ = 20 H₁: μ ≠ 20 A sample of 40 provided a sample mean of 19. The standard deviation is 3. Then the value of the t-test statistic is: | PYQs + Solutions

CUET Mathematics 2025 29 May Shift 2

Statistics & Applications

Medium

applied

-1.8

-2.1

2.1

1.8

✅ Correct Option: 2

Related questions:

15 May Shift 1

A 95 % confidence interval states that the population mean is greater than 152 and less than 160. If $\sigma = 15$ and $Z_{0.025} = 1.96$ , then what sample size was used in the study?

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:

26 May Shift 2

Match List-I with List-II

List-I	List-II
Terms	definition
(A) POPULATION	(I) Measurable characteristics of the population such as mean, variance, standard deviation etc. of population
(B) SAMPLE	(II) Measurable characteristics of the sample such as mean, variance, standard deviation etc. of a sample
(C) PARAMETER	(III) Finite set of statistical individuals drawn from a population for investigation.
(D) STATISTIC	(IV) Collection of objects having the same characteristics

Choose the correct answer from the options given below:

CUET Mathematics 2025 29 May Shift 2 PYQs

Keyboard Shortcuts