A researcher for a large pharmaceutical company is testing a new drug designed to reducewhat are called "cluster" headaches. This new, as yet untested drug, is called "No-Ache", or NA for short. He believes that NA will reduce the number of cluster headaches per week for chronic cluster headache sufferers. For a week prior to the administration of NA, each participant records the number of cluster headaches suffered. These are called the pre-treatment or baseline scores. Participants are then administered NA two times daily (in the morning and the evening) for the following three weeks and again, during the fourth week. During the fourth week of NA doses the number of cluster headaches is measured again. These data are below.

Participant: x1

Bob -14

Fred-7

Ted-21

Mary-17

Evia-20

Juan-18

Charla-28

James-15

Cynthia-17

Maggie-12

Participants: x2

Bob-11

Fed-11

Ted-20

Mary-13

Evia-15

Juan-8

Charla-23

James-16

Cynthia-14

Maggie-7

Complete step 3 of the hypothesis testing procedure and calculate t using which ever formula you prefer. Round to the nearest hundredths place. If your calculated t is not identical to one of the values below, but within plus or minus 0.16 of an answer below, assume it's a rounding error and select the answer that is closest to your calculated value. Ignore the minus sign if your calculated t is negative.

A: 1.48

B: 1.58

C:2.16

D:2.57

E:2.93

F:the correct value of t is not listed in alternatives "a" through "e", even when taking into consideration a rounding error of plus or minus 0.16.