Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Numbers, Quantification and Numerical Applications

Question:

A average age of rural children start helping their parents in agricultural work is claimed as 18 years. In a sample of 48 rural children the average age is 17 years and standard deviation 4.5 years. Then the value of t statistic is :

Options:

-1.54

1.54

1.45

-1.45

Correct Answer:

-1.54

Explanation:

The correct answer is Option (1) → -1.54

The formula for the t-statistic is,

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

$=\frac{-1}{0.6496}≃-1.54$