Given Below Are the Analysis of Variance Results from a Minitab

question 136

Multiple Choice

Given below are the analysis of variance results from a Minitab display. to use a 0.05 significance level in testing the null hypothesis that the different samples come
From populations with the same mean. What can you conclude about the equality of the
Population means? $$\begin{array} { l | r | c | c | c | c } \text { Source } & \boldsymbol { D } \boldsymbol { F } & \boldsymbol { S S } & \boldsymbol { M S } & \boldsymbol { F } & \boldsymbol { p } \\\hline \text { Factor } & 3 & 13.500 & 4.500 & 5.17 & 0.011 \\\hline \text { Error } & 16 & 13.925 & 0.870 & & \\\hline \text { Total } & 19 & 27.425 & & &\end{array}$$

• A) Reject the null hypothesis since the P-value is greater than the significance level.
• B) Accept the null hypothesis since the P-value is less than the significance level.
• C) Accept the null hypothesis since the P-value is greater than the significance level.
• D) Reject the null hypothesis since the P-value is less than the significance level.

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Definitions:

Systematic Desensitization

A behavioral therapy technique used to gradually reduce anxiety or phobia by having the patient confront a feared object or context in a controlled manner.

Shaping

A behavior modification technique involving the reinforcement of closer approximations of a desired behavior until the exact behavior is achieved.

Systematic Desensitization

A behavioral therapy technique used to reduce phobic responses and anxiety through gradual exposure to the feared object or situation coupled with relaxation exercises.

Skinner's Method

A behavioral approach developed by B.F. Skinner that emphasizes the role of reinforcement in shaping behavior through conditioning.