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:

Continuous Random Variable

A variable that can take an infinite number of values within a given range.

Rainfall

The amount of precipitation, especially rain, that falls in a specific area over a given period.

April

The fourth month of the year in the Gregorian calendar, known for seasonal changes and often associated with spring in the Northern Hemisphere.

Sample Space

In probability, the set of all possible outcomes or results of a particular experiment or event.