Math / Data & Statistics

QuestionQuestion 11 (1 point)
11. Given that the sum of squares for error (SSE) for an ANOVA F-test is 12,000 and there are 40 total experimental units with eight total treatments, find the mean square for error (MSE). A) 300 B) 375 C) 308 D) 400
Choose the one that best completes the statement or answers the question.

Studdy Solution

STEP 1

1. The sum of squares for error (SSE) is given as 12,000.
2. The total number of experimental units is 40.
3. There are eight total treatments.
4. The mean square for error (MSE) is calculated as the SSE divided by the degrees of freedom for error.

STEP 2

1. Calculate the degrees of freedom for error.
2. Calculate the mean square for error (MSE).
3. Compare the calculated MSE with the given options to find the correct answer.

STEP 3

Calculate the degrees of freedom for error. The degrees of freedom for error is given by:
$\text{Degrees of freedom for error} = \text{Total number of experimental units} - \text{Number of treatments}$
$= 40 - 8 = 32$

STEP 4

Calculate the mean square for error (MSE) using the formula:
$\text{MSE} = \frac{\text{SSE}}{\text{Degrees of freedom for error}}$
$= \frac{12,000}{32} = 375$

STEP 5

Compare the calculated MSE with the given options:
A) 300 B) 375 C) 308 D) 400
The correct answer is:
$\boxed{375}$

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