A major university has recently reported instituting a new program aimed at redu

Question

A major university has recently reported instituting a new program aimed at reducing binge drinking behaviors seen in on-campus residents after it was recently ranked as a top party school. After investing a considerable amount of funding into a particular program, representatives for the university have been charged with the task of reporting the progress after 4 years. Suppose the following table represents the number of drinks per week prior to and after attending the program for a SRS of students. Assume that a normal approximation is acceptable.

Student Drinks/week Prior to InterventionDrinks/week After intervention 16 18 17 19 21 20

Explanation / Answer

Data:   

n = n1 = n2 6

d-bar = -15

s (of d) = 2.366431913

Hypotheses:   

Ho: d-bar 0

Ha: d-bar < 0

Decision Rule:   

= 0.05

Degrees of freedom = 6 - 1 = 5

Critical t- score = -2.015048372

Reject Ho if t < -2.015048372

Test Statistic:   

SE = s/n = 2.36643191323985/6 = 0.966091783

t = d-bar/SE = -15/0.966091783079296 = -15.526

Before After d = After - Before 16 4 -12 18 5 -13 17 3 -14 19 3 -16 21 4 -17 20 2 -18 d-bar = -15 s = 2.366431913

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