A Statistics Professor at a Large University Hypothesizes That Students

question 38

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.At the 1% significance level,does the evidence support the professor's claim?

• A) No,because the test statistic is less than the critical value.
• B) Yes,because the test statistic is less than the critical value.
• C) No,because the test statistic is greater than the critical value.
• D) Yes,because the test statistic is greater than the critical value.

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Definitions:

One-Way Communication

A form of communication where information is transmitted from the sender to the receiver without expecting or receiving any response or feedback.

Distorted

Altered or misrepresented in a way that deviates from the true or correct original form, often leading to misinterpretation.

Assimilation

The process by which individuals or groups of differing cultural background are absorbed into the dominant culture of a society.

Territoriality

The instinctual or learned concept of establishing and defending an area against others.