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The Law School Admission Test (LSAT) is standardized test used in the application and admission process for those interested in attending law school in the U.S.A. The LSAT is scored on a scale of 120-180, with the mean score of about 150. You have a "test enhancement" business in Texas and have developed a new half-day seminar method designed to increase LSAT scores, called the LSAT-TexPrep method (LTPM, for short). You are quite sure that your new method will increase LSAT scores and you want to offer a money back guarantee in your advertisements. However, you're no fool. So before you begin advertising, you test the accuracy of your claim that participation in the LTPM will, indeed, lead to higher LSAT scores. Nine college students planning on applying to law school who have taken the LSAT before are recruited to participate in LTPM and then retest on the LSAT. Label their initial scores on the LSAT the "Before" condition (X1), and call the retest on the LSAT the "After" condition (X2). The before and after LSAT scores are below.
Student
Number x1 Before
1 142
2 156
3 135
4 141
5 139
6 162
7 128
8 137
9 125
Student x2 After
Number LTPM
1 156
2 155
3 140
4 147
5 152
6 170
7 127
8 146
9 139
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 0.2 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.
Choices:
A: 1.97
B: 2.62
C:2.90
D:3.84
E: 7.44
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 0.2.
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