Question

An article presents measurements of compressive strength (in MPa) for concrete manufactured in three different plants. The results are presented in the following table:

Plant	Compressive Strength
A	46.42	41.00	48.45	46.58	44.71	47.98	49.20	58.14	48.60	48.22	49.94
B	36.00	38.06	42.66	48.25	49.05	47.98	40.81	46.11	49.29	40.47
C	57.28	61.58	58.72	62.58	46.38	46.98	49.17

NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part.

Construct an ANOVA table.

Answer 1

From the given data, the following Table is calculated:

	Plant A	Plant B	Plant C	Total
N	11	10	7	28
	529.24	438.68	382.69	1350.61
Mean	529.24/11=48.1127	438.68/10=43.868	382.69/7=54.67	1350.61/28=48.236
	25636.0114	19459.3978	21213.3033	66308.7125
Std. Dev	4.1573	4.892	6.9719	6.5563

From the above Table, ANOVA Table is calculated as follows:

Source of Variation	Sum of Squares	Degrees of Freedom	Mean Sum of Squares	F	P - Value
Between treatments	480.7359	2	480.7359/2=240.3679	240.3979/27.1942=8.8389	0.0012
Within treatments	679.8562	25	679.8562/25 - 27.1942
Total	1160.5921	27