Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Index Numbers and Time Based Data

Question:

With reference to one sample t-test, the test statistics is given by the expression $t=\frac{17-18}{\frac{4.5}{\sqrt{48}}}$ then

which of the following gives the correct set of order of values $\overline{x}, \mu_0$ , S and n ?

Options:

48, 17, 18, 4.5

17, 4.5, 48, 18

17, 18, 4.5, 48

18, 17, 48, 4.5

Correct Answer:

17, 18, 4.5, 48

Explanation:

The correct answer is Option (3) → 17, 18, 4.5, 48

The formula for the one-sample t-test statistic is,

$t=\frac{\bar x-μ_0}{s/\sqrt{n}}=\frac{17-18}{4.5/\sqrt{48}}$

$\bar x=17,μ_0=18,s=4.5,n=48$