Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Inferential Statistics

Question:

A company produces iron rods of mean inner diameter of 2 cm. A sample of 17 rods gives an inner diameter mean 2.01 cm and variance 0.004 $cm^2$ then value of test-statistic is :

Options:

0.633

0.620

0.613

0.59

Correct Answer:

0.633

Explanation:

The correct answer is Option (1) → 0.633

The t-test formula is,

$t=\frac{\bar x-\mu}{s/\sqrt{n}}$

$=\frac{2.01-2}{0.0632/\sqrt{17}}$

$=\frac{0.01}{0.01533}≃0.633$