Do SAT coaching classes work? Do they help students to improve their test scores

Question

Do SAT coaching classes work? Do they help students to improve their test scores? Four students were selected randomly from all of the students that completed an SAT coaching class. For each student, we recorded their first SAT score (before the class) and their second SAT score (after the coaching class). Student 1 2 3 4 First SAT score 920 830 960 910 Second SAT score 1010 800 1000 980 For a two-sample t test using these data, what is the approximate value of the test statistic t? 56.5 75.0 0.75 42.5

please tell me how to wrok this problem out. how to work it out on TI 83 plus calculator

Explanation / Answer

from Excel

t cal= 0.75 (since it is two tailed)

t-Test: Two-Sample Assuming Unequal Variances first second Mean 905 947.5 Variance 2966.666667 9825 Observations 4 4 Hypothesized Mean Difference 0 df 5 t Stat -0.751545639 P(T<=t) one-tail 0.243086261 t Critical one-tail 2.015048373 P(T<=t) two-tail 0.486172522 t Critical two-tail 2.570581836

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