Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Index Numbers and Time Based Data

Question:

One sample t-test, for testing population mean to a specified value $(\mu_0)$ is given by :

Options:

$t=\frac{\overline{x}-\mu_0}{S/n}$

$t=\frac{\overline{x}-\mu_0}{S/\sqrt{n}}$

$t=\frac{\overline{x}-\mu_0}{S/n^2}$

$t=\frac{\overline{x}-\mu_0}{\sqrt{S}/n}$

Correct Answer:

$t=\frac{\overline{x}-\mu_0}{S/\sqrt{n}}$

Explanation:

The correct answer is Option (2) → $t=\frac{\overline{x}-\mu_0}{S/\sqrt{n}}$

The test statistic for the one-sample,

$t=\frac{\overline{x}-\mu_0}{S/\sqrt{n}}$

where,

$\bar x$ = Sample mean

$\mu_0$ = Specified population mean

$s$ = Sample standard deviation

$n$ = Sample size