The quality-control director for a clothing manufacturer wants to study the effect of operators and
machines on the breaking strength (in pounds) of wool serge material. A batch of the material is
cut into square-yard pieces and these are randomly assigned, three each, to all 12 combinations of
four operators and three machines chosen specifically for the experiment. The results are as
follows:

MACHINE
OPERATOR I II III
A 115 111 109
A 115 108 110
A 119 114 107
B 117 105 110
B 114 102 113
B 114 106 114
C 109 100 103
C 110 103 102
C 106 101 105
D 112 105 108
D 115 107 111
D 111 107 110

(1) Perform complete hypothesis tests.

(a) H0:

H1:

Decision rule:

Test Statistic:

Decision:

Copy and paste your computer printout here.( please attach excel print if possible)

(b) H0:

H1:

Decision rule:

Decision:

(c) H0:

H1:

Decision rule:

Test Statistic:

Decision:

(d) what can you conclude about the effects of operators and machines on breaking strength, and explain your reasoning.