Question

Explain how to perform a​ two-sample t-test for the difference between two population means. Which explanation below best describes how to perform the​ two-sample t-test?

A. Find the critical​ value(s) and identify the rejection​ region(s). Specify the level of significance. State the hypotheses and identify the claim. Determine the degrees of freedom. Make a decision and interpret it in the context of the original claim. Find the standardized test statistic.

B. State the hypotheses and identify the claim. Specify the level of significance. Determine the degrees of freedom. Find the critical​ value(s) and identify the rejection​ region(s). Find the standardized test statistic. Make a decision and interpret it in the context of the original claim.

C. Determine the degrees of freedom. Specify the level of significance. State the hypotheses and identify the claim. Find the critical​ value(s) and identify the rejection​ region(s). Find the standardized test statistic. Make a decision and interpret it in the context of the original claim.

D. Find the standardized test statistic. State the hypotheses and identify the claim. Specify the level of significance. Determine the degrees of freedom. Find the critical​ value(s) and identify the rejection​ region(s). Make a decision and interpret it in the context of the original claim.

Answer 1

First step is to identify the claim and make hypothesis based on the claim

second step is to show the level of significance

third step is to find out degree of freedom using the sample size

fourth step is to find the critical t values which are used to find the rejection region

then, we use the given data to find test statistic and compare it with the t critical values to make the final conclusion

only option B is matching with the proper format

so, answer is B