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Data from a Completely Randomized Design Are Shown in the Following

question 3

Multiple Choice

Data from a completely randomized design are shown in the following table: $Data from a completely randomized design are shown in the following table: For a one-way ANOVA using \alpha = 0.05, the appropriate decision is ___. A) do not reject the null hypothesis \mu 1 \ge \mu 2 \ge\mu 3 B) do not reject the null hypothesis \mu 1 \le\mu 2 \le\mu 3 C) reject the null hypothesis \mu 1= \mu 2= \mu 3 D) reject the null hypothesis \mu 1 \neq \mu 2 \neq\mu 3 E) do not reject the null hypothesis \mu 1 \neq \mu 2 \neq\mu 3$ For a one-way ANOVA using $\alpha$ = 0.05, the appropriate decision is ___.

Definitions:

Probability

The likelihood or chance of an event occurring, often quantified as a number between 0 and 1.

Poisson Distribution

A statistical distribution predicting the probability of a given number of events occurring in a fixed interval of time or space, assuming the events happen with a constant mean rate independently of the time since the last event.

Reservation

The act of reserving something in advance, such as a service or accommodation, or a specific area of land set aside or preserved for a particular purpose, often referring to lands designated for indigenous peoples.

Tornado Chart

A type of bar chart used in sensitivity analysis which displays the comparative importance of variables, often in financial models.