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A researcher hypothesizes that plants given Plant Food A, Plant Food B, or Plant Food $C$ will grow to different heights. Use the data below to test the hypothesis and fill in the blanks. Round all numeric answers to the hundredths place.

Given data,

A researcher hypothesizes that plants given Plant Food A, Plant Food B, or Plant Food C will grow to different heights

The total sample size is . Therefore, the total degrees of freedom are:

Also, the between groups degrees of freedom are , and the within-

groups degrees of freedom are

First, we need to compute the total sum of values and the grand mean. The following is

obtained

Also, the sum of squared values is

Based on the above calculations, the total sum of squares is computed as follows

prefer to see the solution steps above

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