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From Past Records It Is Known That the Average Life

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From past records it is known that the average life of a battery used in a digital clock is 305 days. The battery life is normally distributed. The battery was recently modified to last longer. A sample of 20 of the modified batteries was tested. It was discovered that the mean life was 311 days and the sample standard deviation was 12 days. We want to test at the 0.05 level of significance whether the modification increases the life of the battery. What is our decision rule?


Definitions:

Reward Power

The capability of an individual to offer positive incentives, such as promotions or bonuses, to influence others’ behaviors or attitudes.

Expert Power

The influence and authority someone has due to their specialized knowledge or expertise.

Coercive Power

A form of power that is based on the ability to deliver punishments or impose sanctions on others.

Referent Power

is the influence one has over others based on their loyalty, respect, or admiration towards the person.

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