Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Index Numbers and Time Based Data

Question:

Let test statistic of a data be represented by :

$t=\frac{(0.742-0.7)}{0.04}×3=3.15$ and it is given that $t_9(0.05)=2.267;$ then select the correct option :

Options:

\( t=3.15 > t_9(0.05)\);then null hypothesis is not accepted

$t=3.15 > t_9 (0.05);$ then null hypothesis is accepted

$\overline{X}=0.7, \mu = 0.742; n =9; s=0.2 $

$\overline{X}= 0.742, \mu = 0.7;$ degree of freedom = 10

Correct Answer:

\( t=3.15 > t_9(0.05)\);then null hypothesis is not accepted

Explanation:

The correct answer is Option (1) → \( t=3.15 > t_9(0.05)\);then null hypothesis is not accepted

The computed t-value is, $t=3.15$

Critical t-value, $tg(0.05)=2.267$

$t>tg(0.05)$, the test static is greater than the critical value, which means we reject the hypothesis.