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.

---

Definitions:

Avoidance Conditioning

A learning process in which an individual learns to prevent the occurrence of a negative or unpleasant outcome.

Classical Conditioning

An instructive procedure where two stimuli are regularly associated, causing a response at first provoked by the second stimulus to later be provoked by the first stimulus exclusively.

Over-the-Counter Medication

Drugs available for purchase without a prescription, used to treat common or minor ailments.

Heartburn

A burning discomfort or pain in the chest, usually arising from the reflux of stomach acid into the esophagus.