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A New Sales Training Program Has Been Instituted at a Rent-To-Own

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A new sales training program has been instituted at a rent-to-own company. Prior to the training, 10 employees were tested on their knowledge of products offered by the company. Once the training was completed, the employees were tested again in an effort to determine whether the training program was effective. Scores are known to be normally distributed. The sample scores on the tests are listed next. Use pretest score as µ1 for population 1 and post-test score as µ2 for population 2, or µD as the mean of the difference calculated as pre-test score minus post-test score. A new sales training program has been instituted at a rent-to-own company. Prior to the training, 10 employees were tested on their knowledge of products offered by the company. Once the training was completed, the employees were tested again in an effort to determine whether the training program was effective. Scores are known to be normally distributed. The sample scores on the tests are listed next. Use pretest score as µ<sub>1</sub> for population 1 and post-test score as µ<sub>2</sub> for population 2, or µ<sub>D</sub> as the mean of the difference calculated as pre-test score minus post-test score.   Which of the following are the appropriate hypotheses to determine if the training increases scores? A)  H<sub>0</sub>: µ<sub>1</sub> - µ<sub>2</sub> ≥ 0, H<sub>A</sub>: µ<sub>1</sub> - µ<sub>2</sub> < 0 B)  H<sub>0</sub>: µ<sub>1</sub> - µ<sub>2</sub> ≤ 0, H<sub>A</sub>: µ<sub>1</sub> - µ<sub>2</sub> > 0 C)  H<sub>0</sub>: µ<sub>D</sub> ≥ 0, H<sub>A</sub>: µ<sub>D </sub><<sub> </sub>0 D)  H<sub>0</sub>: µ<sub>D</sub> ≤ 0, H<sub>A</sub>: µ<sub>D</sub> ><sub> </sub>0 Which of the following are the appropriate hypotheses to determine if the training increases scores?


Definitions:

Forced Institutionalization

The process where individuals are confined or placed in an institution without their consent, often in the context of mental health or legal situations.

Civil Commitment

A legal process through which individuals with severe mental illnesses can be mandated to receive treatment, often in a hospital or secure facility.

Grave Disability

Legal criterion for involuntary commitment that is met when a person is so incapacitated by a mental disorder that he or she cannot provide his or her own basic needs, such as food, clothing, or shelter, and his or her survival is threatened as a result.

Physically Disabled

Pertains to individuals who have long-term physical limitations or impairments that restrict their ability to perform certain tasks or movements.

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