A School Psychologist Was Interested in Whether the 12 Students

question 9

Essay

A school psychologist was interested in whether the 12 students in the chess club had a higher or lower mean grade point average (GPA)than the other students at a school.The overall GPA at the school was 2.55 with a standard deviation of 0.5; the distribution of GPAs was approximately normal.The average GPA of students in the chess club was 2.76.Using the .05 significance level,did the chess club represent a population that was different from students in general at this school?
a.Use the five steps of hypothesis testing.
b.Sketch the distributions involved.
c.Advanced topic: Figure the confidence limits for the 95% confidence interval.
d.Explain the logic of what you did to a person who understands hypothesis testing for studies in which the sample consists of a single individual but is unfamiliar with hypothesis testing involving a sample of more than one individual.Be sure your explanation includes a discussion of the distribution of means-what it is,the logic of how it is figured-and its role in the overall hypothesis testing process.Advanced topic: Explain the logic and computation of the confidence intervals.

---

Definitions:

Illegal Contract

A contract that is void and unenforceable from the outset because it involves or pertains to an illegal act.

Criminal Violation

An act that breaches a statute and is punishable by the government through fines, imprisonment, or other penalties.

Illegal Agreement

An agreement that is against the law, and therefore unenforceable by the parties involved.

Exculpatory Clause

A contract provision that relieves one party from liability for harm caused during the execution of the contract.