A Tutor Promises to Improve GMAT Scores of Students by More

question 17

Multiple Choice

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 is the appropriate conclusion at the 5% significance level?

• A) Reject H₀; we can conclude that the mean difference in test scores after and before tutoring is greater than 50 points.
• B) Reject H₀; we cannot conclude that the mean difference in test scores after and before tutoring is greater than 50 points.
• C) Fail to reject H₀, we can conclude that the mean difference in test scores after and before tutoring is greater than 50 points.
• D) Fail to reject H₀; we cannot conclude that the mean difference in test scores after and before tutoring is greater than 50 points.

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Definitions:

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A theory in social movements that emphasizes the importance of resources, such as money, labor, and time, and organizational structure in the success of social movements.

Technological Determinism

The belief that technological development shapes societal changes, cultural norms, and individual behaviors, often in an inevitable or predetermined manner.

Cultural Codes

The systems of symbols and meanings that guide the understanding and behavior within a culture.

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A relative measure of poverty based on the standard of living in a particular society.