The paired data below consist of the temperatures on randomly chosen days and the amount a certain kind of plant grew (in millim
1 answer:
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check the picture below.
Answer:
So then the best option is:
a. 7.32
Step-by-step explanation:
Previous concepts
Analysis of variance (ANOVA) "is used to analyze the differences among group means in a sample".
The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"
If we assume that we have groups and on each group from
we have
individuals on each group we can define the following formulas of variation:
And we have this property
Where SST represent the total sum of squares.
The degrees of freedom for the numerator on this case is given by where k =3 represent the number of groups.
The degrees of freedom for the denominator on this case is given by .
And the total degrees of freedom would be
From the info given we know that
And
From definition the F statisitc is defined as:
So then the best option is:
a. 7.32