In the formula for Z-test statistic Z = (x - _0)/(()/√n), mark the incorrect statement. Option 1: x is sample mean Option 2: _0 is population mean Option 3: n is sample size Option 4: is variance of the population

Answer: is variance of the population. Solution: In the Z-test formula, denotes the population standard deviation, not its variance. Hence statement 4 is incorrect.

Applied Mathematics

Inferential Statistics

Easy

applied

In the formula for Z-test statistic $Z = \frac{\bar{x} - \mu_0}{\frac{\sigma}{\sqrt{n}}}$ , mark the incorrect statement.

$\bar{x}$ is sample mean

$\mu_0$ is population mean

n is sample size

$\sigma$ is variance of the population

✅ Correct Option: 4

In the Z-test formula, $\sigma$ denotes the population standard deviation, not its variance. Hence statement 4 is incorrect.

2023: 15 June Shift 2

Consider the following hypothesis test :

$H_0 : \mu \leq 20$

$H_1 : \mu > 20$

A sample of 81 produced a sample mean of 20.55. The population standard deviation is 3. The value of the test statistic is :

2026: 29 May Shift 2

Match the LIST-I with LIST-II

LIST-I		LIST-II
A.	The measurable characteristic of a population is called	I. Statistic
B.	The measurable characteristic of a sample is called	II. Confidence level
C.	The percentage of all possible samples that can be expected to include the true population parameter is called	III. Confidence interval
D.	A range that could be expected to contain the population parameter of interest is	IV. Parameter

Choose the correct answer from the options given below:

2026: 29 May Shift 2

A simple random sample consists of five observations: 2, 4, 6, 7,11, then which of the following are true ?

A. Sample mean = 7.5

B. Sample mean = 6

C. Sample standard deviation = $\sqrt{11}$

D. Sample standard deviation = $\sqrt{11.5}$

Choose the correct answer from the options given below:

2022: 25 May Shift 1

Match List I with List II

LIST I	LIST II
A. A special characteristic of a population is known as a:	I. statistic
B. A special characteristic of a sample is known as a:	II. Confidence interval
C. The uncertainty of a sampling process is expressed by:	III. Estimation
D. The process by which one makes the inferences about a population based on the information obtained from a sample is known as:	IV. Parameter

Choose the correct answer from the options given below:

2023: 7 June Shift 1

Consider the following hypothesis test : $H_0 : \mu \leq 24$ , $H_a : \mu > 24$

A sample of 64 provided a sample mean of 24.3 . The population standard deviation is 2. The value of the test statistic is :

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 :

In the formula for Z-test statistic Z=xˉ−μ0σnZ = \frac{\bar{x} - \mu_0}{\frac{\sigma}{\sqrt{n}}}Z=n​σ​xˉ−μ0​​, mark the incorrect statement.

Solution

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CUET Mathematics Past Year Questions (Topic-Wise)

In the formula for Z-test statistic $Z = \frac{\bar{x} - \mu_0}{\frac{\sigma}{\sqrt{n}}}$ , mark the incorrect statement.