Question

the sales strategy data given below yields the following statistics for the sum of squares for treatments and the sum of squares for error.
sales by strategy (millions of dollars)

strategy 1	strategy 2	strategy 3	strategy 4	strategy 5
8	2	2	4	6
9	12	10	6	5
10	15	5	9	5
12	2	10	7	3
11	6	6	14	8
15	7	4	5	3
12	6	7	9	7
9	9	12	7	5

copy data
sst ≈ 121.6889
sse ≈ 433.5556
step 4 of 4: find the mean square for error, mse. round your answer to four decimal places.

Explanation:

Step1: Recall MSE formula

The formula for the mean - square error (MSE) in a one - way ANOVA is $MSE=\frac{SSE}{n - k}$, where $SSE$ is the sum of squares for error, $n$ is the total number of observations, and $k$ is the number of treatments.
First, find the number of observations $n$ and the number of treatments $k$. There are 5 strategies ($k = 5$) and 10 observations per strategy, so $n=5\times10 = 50$.

Step2: Calculate MSE

We know that $SSE\approx433.5556$, $n = 50$, and $k = 5$. Then $MSE=\frac{SSE}{n - k}=\frac{433.5556}{50 - 5}$.
$MSE=\frac{433.5556}{45}\approx9.6346$.

Answer:

$9.6346$