A defense contractor is interested in studying the properties of three specimens. Three specimens of materials are used for two properties. Seven measurements are used for each combination in the study. The factor levels are given in Table 2.

(a) Write an appropriate model, with assumptions.

(b) Use analysis of variance to test the appropriate hypothesis for SPECIMENS, PROPERTIES and INTERACTION.

( Solve the problem by using R program(NOT MINITAB). Submit the code and results with your comments

Table 2: Experimental results for the mechanical properties of prepared test specimens

	PROPERTIES
SPECIMENS	ILSS(MPa)	FS(MPa)
CFE1	117.68	1897.68
	124.00	1975.946
	124.80	2070.383
	120.12	2016.101
	119.15	1907.32
	123.33	1859.09
	112.41	1960.789
GFE1	78.35	1429.468
	80.73	1380.895
	84.41	1462.426
	85.59	1422.289
	87.20	1459.468
	79.48	1523.006
	81.93	1426.603
CFE2	18.21	1015.509
	17.03	1018.322
	18.41	1026.202
	17.16	1023.832
	18.27	1021.016
	18.60	1003.459
	18.82	1011.877