An experiment was performed to study the effect of four factors on process yield.

		LOW	HIGH
A	FLOW RATE(cfm)	17	21
B	PRESSURE	30	40
C	FEEDER TYPE	TYPE A	TYPE B
D	CONDITIONED	FALSE	TRUE

Below are the results from each treatment for two replicates:

REPLICATE

TREATMENT	1	2
(1)	44.8	46.5
a	47.5	52
b	49.6	47.8
ab	49.6	48.8
c	42.5	46.6
ac	45.4	47.4
bc	47.5	43.7
abc	49	48.9
d	47.8	43.4
ad	48.8	47.2
bd	52.5	45.5
abd	44.5	47.5
cd	48.3	42.8
acd	47.5	51.4
bcd	47.8	46.1
abcd	45	48.7

1. Provide the design layout for a four factor factorial experiment.

2. Given the responses, provide effect estimates.

3. Put together an ANOVA table for this experiment and highlight the significant effects.

4. Provide a half-normal plot of the effects.