Find the Critical Points of the Function , and from the Form

question 10

Multiple Choice

Find the critical points of the function , and from the form of the function, determine whether a relative maximum or a relative minimum occurs at each point.

• A) relative maxima at , , , where and are arbitrary real numbers
• B) relative minima at , , , where and are arbitrary real numbers
• C) relative minimum at
• D) relative maximum at
• E) no relative extrema

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Definitions:

P-Value

The probability of observing a test statistic at least as extreme as the one observed, under the assumption that the null hypothesis is true.

Level of Significance

The probability of rejecting the null hypothesis when it is actually true, used as a threshold in hypothesis testing.

Test Statistic

A calculated value from a data sample used to test a hypothesis against some criteria.

P-Value

The probability of observing a statistical summary at least as extreme as the one observed if the null hypothesis is true.