One property of automobile air bags that contributes to their ability to absorb energy is the permeability (ft³/ft²/min) of the woven material used to construct the air bags. Understanding how permeability is influenced by various factors is important for increasing the effectiveness of air bags. The effects of three factors, each at three levels, were studied:A(Temperature): 8C, 50C, 75C B(Fabric denier): 420-D, 630-D, 840-D C(Air pressure): 17.2 kPa, 34.4 kPa, 103.4 kPa

Temperature 8
	Pressure
Denier	17.2	34.4	103.4
420-D	73	157	332
	80	155	322
630-D	35	91	288
	433	98	271
840-D	125	234	477
	111	233	464
Temperature 50
	Pressure
Denier	17.2	34.4	103.4
420-D	52	125	281
	51	118	264
630-D	16	72	169
	12	78	173
840-D	96	149	338
	100	155	350
Temperature 75
	Pressure
Denier	17.2	34.4	103.4
420-D	37	95	276
	31	106	281
630-D	30	91	213
	41	100	211
840-D	102	170	307
	98	160	311

The hypotheses are as follows:

H0A: all?i's = 0 HaA: at least one?i?0	H0B: all?j's = 0 HaB: at least one?j?0	H0C: all?k's = 0 HaC: at least one?k?0
H0AB: all?ijAB's = 0 HaAB: at least one?ijAB?0	H0AC: all?ikAC's = 0 HaAC: at least one?ikAC?0	H0BC: all?jkBC's = 0 HaBC: at least one?jkBC?0
H0BC: all?ijk's = 0 HaBC: at least one?ijk?0

Analyze this data and state your conclusions (assume that all factors are fixed). (Round your answers for SS and MS to the nearest whole number and your answers forfandF_0.01to two decimal places.)

Source	df	SS	MS	f	F0.01
A
B
C
AB
AC
BC
ABC
Error
Total

Which null hypotheses should be rejected at?= 0.01? (Select all that apply.)

H_0AH_0BH_0CH_0ABH_0ACH_0BCH_0ABCNo null hypotheses should be rejected.

6. [10.56/20 Points] DETAILS PREVIOUS ANSWERS DEVORESTAT9 11.SE.057. MY NOTES One property of automobile air bags that contributes to their ability to absorb energy is the permeability (ft/ft2/min) of the woven material used to construct the air bags. Understanding how permeability is influenced by various factors is important for increasing the effectiveness of air bags. The effects of three factors, each at three levels, were studied: A (Temperature) : 8.C, 50 C, 75.C B (Fabric denier): 420-D, 630-D, 840-D C (Air pressure): 17.2 kPa, 34.4 kPa, 103.4 kPa Temperature 80 Pressure Denier 17.2 34.4 103.4 420-D 73 157 332 80 155 322 630-D 35 91 288 433 98 271 840-D 125 234 477 111 233 464 Temperature 50 Pressure Denier 17.2 34.4 103.4 420-D 52 125 281 51 118 264 630-D 16 72 169 12 78 173 840-D 96 149 338 100 155 350Temperature 750 time left... Pressure 2:20:22 Denier 17.2 34.4 103.4 420-D 37 95 276 31 106 281 630-D 30 91 213 41 100 211 840-D 102 170 307 98 160 311 The hypotheses are as follows: HoA: all a;'s = 0 HOB: all Bis = 0 Hoc: all & 's = 0 HaA: at least one a; # 0 HaB: at least one B, # 0 Hac: at least one & # 0 HOAB: all y AB's = 0 AC'S = 0 HOAC: all Yik ABC'S = 0 HOBC: all Yjk HaAB: at least one y AB # 0 Hac: at least one yik # 0 HaBC: at least one Yjk BC # 0 HOBC: all Yijk'S = 0 HaBC: at least one yijk * 0 Analyze this data and state your conclusions (assume that all factors are fixed). (Round your answers for SS and MS to the nearest whole number and your answers for f and Fo., to two decimal places.) Source df SS MS f Fo.01 A 2 V X X X 5.49 B 2 X X 5.49 C 2 Enter an exact number. X X 5.49 AB 4 X X X 4.11 AC 4 X 4.11 BC 4 X X X 4.1 ABC 8 33487 4186 1.41 3.26 Error 27 V 80192 2970 Total 53 746542Which null hypotheses should be rejected at a = 0.01? (Select all that apply.) HOA HOB Hoc HOAB HOAC HOBC WHOABC O No null hypotheses should be rejected. X