You want to determine whether "noise" makes a difference in college students' ability to memorize new information. You randomly divide 16 college sophomores into two groups with eight participants each. The participants in both groups are asked to memorize a list of 20 nonsense syllables (such as "TSG", "JMB", and so on) during a five-minute study period. The participants in Group 1 study the nonsense syllables with a "noisy" background, while those in Group 2 study the syllables with a "no noise" background. After the five-minute study period all participants receive a distracter task wherein they must count backward from 100 by sevens (for example, 100, 93, 85, and so on) for one minutes. At the end of this one minute of counting backward, each participant is asked to recall as many of the original nonsense syllables as possible. The scores below are the number of nonsense syllables each participant correctly recalled.

X1 ("Noisy", Group 1)	X2 ("No Noise", Group 2)
13	9
9	5
7	5
11	9
12	9
10	11
14	12
11	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.

Group of answer choices

1.82

2.08

2.42

3.04

4.18

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.