Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Inferential Statistics

Question:

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

Options:

$\overline{x}$ is sample measn

$\mu_0$ is population mean

n is sample size

$σ$ is variance of the population

Correct Answer:

$σ$ is variance of the population

Explanation:

Given Z-test statistic

$Z=\frac{\bar{x}-\mu_0}{\frac{\sigma}{\sqrt{n}}}$

Where

$\bar{x}$ = sample mean

$\mu_0$ = population mean

$n$ = sample size

$\sigma$ = population standard deviation

Thus the statement saying $\sigma$ is population variance is incorrect.

The incorrect statement is: $\sigma$ is variance of the population.