Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Index Numbers and Time Based Data

Question:

T-Test : A t-test is a test of difference for parameter data

$T=\frac{\overline{x_1}-\overline{x_2}}{s_p\sqrt{\frac{1}{x_1}+\frac{1}{x_2}}}$

Then read the following statements and choose the correct statements

(A) The null hypothesis and the alternative hypothesis have the same view points.

(B) In t-test; testing the significance of mean value is done, when sample size is small.

(C) t-test for two independent groups when variance is equal

(D) Testing is a process used by satisticians, to accept or reject the hypothesis.

(E) If the value of test statistic is greater than the table values, we do not reject the null hypothesis.

Choose the correct answer from the options given below :

Options:

(B), (C) and (D) Only

(A), (B) and (D) Only

(A), (B) and (E) Only

(D) and (E) Only

Correct Answer:

(B), (C) and (D) Only

Explanation:

The correct answer is Option (1) → (B), (C) and (D) Only

(B) T-test is used to test the significance of the mean when sample sizes are small.

(C) A t-test for two independent samples assumes that variances of two groups are equal.

(D) The process of hypothesis testing helps statisticians decide whether to accept or reject the null hypothesis.