Question

The mean brain volume for a group of healthy adults is collected and the mean brain volume of adults diagnosed with obsessive-compulsive behavior is also obtained. The results are listed below. Test the claim that there is a difference between the two population means. Use a 0.01 significance level.

                                      Control Group: n = 10 sample mean = 0.45    sample standard deviation = 0.08

            Obsessive-compulsive patients: n = 10 sample mean = 0.34    sample standard deviation = 0.08

Group of answer choices

support the claim

reject the claim

fail to reject the claim

fail to support the claim

Answer 1

Solution:

The correct option is:

Support the claim

Explanation:

We can use the TI-84 to find the test statistic and p-value for the given problem.

The steps are as follows:

Press STAT and scroll right to TESTS

Scroll down to 2-SampTTest

Scroll right to Stats

Enter the details as:

The output is:

Since the p-value is 0.0065, which is less than the significance level 0.01, we, therefore, reject the null hypothesis and there is sufficient evidence to support the claim that there is a difference between the two population means.