A tutor 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 µ_D denote the mean of the difference: score after tutoring minus score before tutoring.Which of the following hypotheses will determine if the students improved their test scores by more than 50 points after being tutored? A) H₀: µ_D ≤ 0,H_A: µ_D 0 B) H₀: µ_D ≥ 0,H_A: µ_D50 D) H₀: µ_D ≥ 50,H_A: µ_D

Question

A tutor 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 µ_D denote the mean of the difference: score after tutoring minus score before tutoring.Which of the following hypotheses will determine if the students improved their test scores by more than 50 points after being tutored? A) H₀: µ_D ≤ 0,H_A: µ_D> 0 B) H₀: µ_D ≥ 0,H_A: µ_D<0 C) H₀: µ_D ≤ 50,H_A: µ_D>50 D) H₀: µ_D ≥ 50,H_A: µ_D<50

Quizplus · Accepted Answer

The null hypothesis (H0) should state that the mean difference is less than or equal to 50 points, while the alternative hypothesis (HA) should state that the mean difference is greater than 50 points, which aligns with testing if the improvement is more than 50 points.

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