Two factors, time and medium are investigated on bacterial count on specimens. The response values are...

Two factors, time and medium are investigated on bacterial count on specimens. The response values are given.

a. Perform a factorial analysis using the EXCEL spreadsheet.

b. Create a factorial design square

c. Draw the main effects plot

d. Give conclusions

Medium	time 10	time 15	time 20
1	2.6	4.0	5.5
1	2.7	4.1	5.4
2	3.7	5.7	7.8
2	3.8	5.8	7.7

Expert Solution

(a) The EXCEL spreadsheet is:

(b) The Analysis of Variance table is:

Source	DF	Adj SS	Adj MS	F-Value	P-Value
Medium	1	8.6700	8.6700	92.48	0.000
time	2	23.1200	11.5600	123.31	0.000
Error	8	0.7500	0.0938
Lack-of-Fit	2	0.7200	0.3600	72.00	0.000
Pure Error	6	0.0300	0.0050
Total	11	32.5400

(c) The main effects plot is:

(d) There is a main effect of time and medium on bacterial count on specimens.

orchestra answered 2 years ago

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