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A Statistics Professor at a Large University Hypothesizes That Students

question 66

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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.Which of the following is(are) the appropriate critical value(s) to test the professor's claim at the 1% significance level?

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Definitions:

Personal Property

Movable assets or belongings, excluding real estate and buildings, owned by an individual or entity.

Third Parties

Individuals or entities that are not directly involved in a contract or negotiation but may be affected by its outcomes or have an interest in its terms.

Indispensable Paper

A critical document without which a particular process or task cannot be completed or understood.

Chattel Paper

A legal document that specifies an obligation involving movable personal property, often related to leases or loans.

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