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 3 of 4: find the mean square for treatments, mst. round your answer to four decimal places.
answer

Explanation:

Step1: Recall the formula for MST

The formula for the mean - square for treatments (MST) is $MST=\frac{SST}{k - 1}$, where SST is the sum of squares for treatments and $k$ is the number of treatments. Here, the number of sales strategies $k = 5$, and $SST\approx121.6889$.

Step2: Calculate MST

Substitute the values into the formula: $MST=\frac{121.6889}{5 - 1}=\frac{121.6889}{4}=30.422225$.

Step3: Round the result

Rounding the result to four decimal places, we get $MST\approx30.4222$.

Answer:

$30.4222$