A Statistics Professor at a Large University Hypothesizes That Students

question 68

Multiple Choice

A statistics professor at a large university hypothesizes that students who take statistics in the morning typically do better than those who take it in the afternoon.He takes independently random samples,each of size 36,consisting of students who took a morning and an afternoon class,and compares the scores of each group on a common final exam.He finds that the morning group scored an average of 74 with a standard deviation of 8,while the evening group scored an average of 68 with a standard deviation of 10.The population standard deviation of scores is unknown but is assumed to be equal for morning and evening classes.Let µ₁ andµ₂ represent the population mean final exam scores of statistics' courses offered in the morning and the afternoon,respectively.Which of the following hypotheses will test the professor's claim?

• A) H0: µ₁- µ₂ ≤ 0,H_A: µ₁- µ₂ > 0
• B) H₀: µ₁- µ₂ ≥ 0,H_A: µ₁- µ₂ < 0
• C) H₀: µ₁- µ₂ > 0,H_A: µ₁- µ₂ ≤ 0
• D) H₀: µ₁- µ₂ = 0,H_A: µ₁- µ₂ ≠ 0

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Definitions:

Ritual Events

Ceremonial activities performed in a prescribed manner, often for a religious or cultural purpose.

Imitation Training

A learning method where individuals acquire new behaviors or skills by observing and replicating others' actions.

Dependence Training

Child-rearing practices that foster compliance in the performance of assigned tasks and dependence on the domestic group, rather than reliance on oneself.

Normative Orientation

The adherence to prescribed norms or rules of social behavior that are accepted within a group or society.