A Student Believes That the Average Grade on the Statistics

question 79

Essay

A student believes that the average grade on the statistics final examination was 87.A sample of 36 past final examinations was taken.The average grade in the sample was 83.96 with a standard deviation of 12.
a.
State the null and alternative hypotheses.
b.
Using the critical value approach, test the hypotheses at the 5% level of significance.
c.
Using the p-value approach, test the hypotheses at the 5% level of significance.

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Definitions:

Performance Criteria

Standards or benchmarks used to evaluate the effectiveness or success of an individual's work or performance.

Unified Commitment

A collective dedication or pledge by a group or organization towards achieving a common goal or principle.

Clear, Elevating Goal

A defined objective that is understandable and inspires people to strive towards it, often motivating higher performance.

Principled Leadership

A leadership approach based on adhering to a set of ethical values and standards, guiding decisions and actions with integrity and moral courage.