Martin wants to sell an illegal exam service on GroupMe, but business isn’t so good. Martin would like to know why! He collects
two samples of exam scores for the same midterm: students who are using his service (Group 1), and students who are not using his service (Group 2). He notices that exams scores were actually lower for students using his service! :( Now, Martin wants to test if this difference is significant or not. He compiles the following summary statistics: Group 1: = 24, = 89.005. = 3.438 Group 2: = 34, = 91.864. = 3.305. (2 points) Perform a t-test to determine if this difference is significant, using Welch’s formula for degrees of freedom. Please show all work. Identify your test statistic, calculate its value and distribution under (show your work for the df calculation), p-value, and decision at . α = 0.001 α = 0.001 α = 0.01 151.8, 154.5, 154.5, 155.8, 156.7, 157.3, 159.1, 159.5, 160.4, 161.2, 161.8, 164.0, 164.9, 165.4, 170.2 α = 0.05 H0 α = 0.05 α = 0.05 α = 0.001 n1 x¯ sX n2 y¯ sY H0 α = 0.0
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→ 6x² - 2x - 20
→ 6x² + 10x - 12x - 20
→ x(6x + 10 ) - 2 (6x + 10)
→ (6x + 10) (x - 2) .
for
6x - 10 = 0
6x = 10
for x - 2
x = 2