Independent Sample t-Test

What is the statistical method used to check whether there is a significant difference between the means of two groups?

• One-sample t-Test

• t-Test

• Dependent Sample t-Test

• Independent Sample t-Test

Answer explanation

If it is used to determine the significant difference between the means of two groups, we use (t-Test).

It becomes independent sample t-Test only if you are checking the difference between the means of two UNRELATED groups.

What hypothesis indicates that there is NO MEAN DIFFERENCE between two independent samples, and is denoted by the symbol: H₀?

What hypothesis indicates that THERE IS A MEAN DIFFERENCE between two independent samples, and is denoted by the symbol: H_a?

What is the most common level of significance used in statistics?

• 0.10

• 0.5

• 0.01

• 0.05

How many steps are there in order to test a hypothesis in independent sample t-Test?

All of the following are other terms used to denote "Independent Sample T-test", EXCEPT for...

• Unpaired t-Test

• Matched pairs t-Test

• Two-Sample t-Test

• Student's t-Test

Answer explanation

Matched pairs t-Test is used for DEPENDENT sample t-Test.

If the significance level of the two-tailed t-Test is 0.05 and the degrees of freedom is 6, what is its critical value?

Use the t-table given.

• 2.447

• 1.943

• 2.365

• 3.143

Which of the following assumptions is NOT required for conducting an Independent Sample T-test?

• Normality of the data

• Equal variances

• Random sampling

• Dependent samples

In a two-tailed t-Test, if the t-value is greater than the critical value (t < cv), what should be the conclusion?

• Fail to reject the null hypothesis

• Reject the null hypothesis

• Accept the alternative hypothesis

• None of the above

What is the primary purpose of using a t-Test in statistical analysis?

• To compare proportions

• To compare means

• To analyze variance

• To test correlation