Question

In testing a hypothesis about two population means, it the t distribution is used, which of the following assumptions is required?


The sample sizes are equal


Both populations are normally distributed


The standard deviations are not the same


Both population means are the same

Answer 1

Step-by-step explanation:

We use this hypothesis test when the data meets the following conditions. The two random samples are independent. The variable is normally distributed in both populations. If this variable is not known, samples of more than 30 will have a difference in sample means that can be modeled adequately by the t-distribution.

Answer 2

The correct option is (B).

Explanation:

Basically, the hypothesis test is a procedure or an assumption(guess) to be proposed to test two data samples.  

For testing data of two populations, data should not be dependent and the variable should be normally distributed and they have the same mean.

t distribution test can be used to build confidence interval between two data sample mean.

So,

Here in the given question, the size of the samples need not be the same.