A Statistics Professor at a Large University Hypothesizes That Students

question 55

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 a random sample of 36 students who took a morning class and, independently, another random sample of 36 students who took an afternoon class. 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 and µ₂ 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:

Social Regulation

Rules imposed by government to correct market failures and improve the social welfare, often relating to health, safety, and the environment.

Economic Regulation

The imposition of rules by the government, aimed at modifying the natural behavior of the economy to achieve specific outcomes like protecting consumers or ensuring fair market competition.

Overregulation

A situation where excessive rules and regulations impede business operations, innovation, or personal freedoms.

Social Regulation

Regulations that aim to correct behaviors and practices affecting public interests, such as environmental protection, health, and safety standards.