A researcher hears that meditation therapy has been used to treat end-of-life anxiety in terminally ill cancer patients. She decides to contact the local hospice organization in order to run a study on the effects of meditation therapy. Five cancer patients agree to be part of the study and to take part in a bi-weekly meditation class. The researcher collects the patients' anxiety scores and compares them to the anxiety levels of eight cancer patients who have not taken the meditation class.

The scores from her two groups are listed below.

Meditation Group Non-meditation Group

75 67

65 73

72 79

63 81

65 82

76

79

95

What is estimated population variance (SE) based on these two samples? (Step 2) Be sure to show all of your work!