A tuter promises to improve GMAT scores of students by more than 50 points after

Question

A tuter promises to improve GMAT scores of students by more than 50 points after three lessons. To see if this is true, the tutor takes a sample of 49 students’ test scores after and before they received tutoring. The mean difference was 53 points better after tutoring, with a standard deviation of the difference equal to 12 points. Let µD denote the mean of the difference: score after tutoring minus score before tutoring. Which of the following is the correct value of the test statistic?

t48 = 1.7143

t48 = 1.7500

z = 1.7500

z = 1.7143

Explanation / Answer

Soln : df=n-1 =48 , n=49

t48= (53-50)/(12/7)

= 1.7500

Ans : t48 = 1.7500

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