An experiment was designed to study the effect of two factors on the fire-retard ant treatment offabrics. Factor A is the type of fabric (cotton versus polyester), and factor B corresponds to twodifferent fire-retar-dant treatments (X and Y). The results from four replications of eachcombination of the two factors (expressed in terms of the number of inches of a fabric burnedafter a flame test, with a smaller value indicating a better result) were as follows:TreatmentTreatmentFabricYFabricXCotton3928Polyester462936315025314245453048For the 0.05 level of significance, answer the following questions:(a) Is there an effect due to fabric?(b) Is there an effect due to fire-retardant treatment?(c) Is there an interaction due to fabric and fire-retardant treatment?(d) Plotgraph of average fabric burned for each fabric for each fire-retardant treatment.(e) What can you conclude about the effect of fabric and fire-retardant treatment on the amountof fabric burned?Y 7333

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An experiment was designed to study the effect of two factors on the fire-retard ant treatment of fabrics. Factor A is the type of fabric (cotton versus polyester), and factor B corresponds to two different fire-retar-dant treatments (X and Y).The results from four replications of each combination of the two factors (expressed in terms of the number of inches of a fabric burned after a flame test, with a smaller value indicating a better result) were as follows: Treatment Treatment Fabric Y Fabric X Y. Cotton 39 28 Polyester 46 29 25 36 31 50 42 31 45 32 35 45 30 48 For the 0.05 level of significance, answer the following questions: (a) Is there an effect due to fabric? (b) Is there an effect due to fire-retardant treatment? (c) Is there an interaction due to fabric and fire-retardant treatment?

An experiment was designed to study the effect of two factors on the fire-retard ant treatment of fabrics. Factor A is the type of fabric (cotton versus polyester), and factor B corresponds to two different fire-retar-dant treatments (X and Y).The results from four replications of each combination of the two factors (expressed in terms of the number of inches of a fabric burned after a flame test, with a smaller value indicating a better result) were as follows: Treatment Treatment Fabric Y Fabric X Y. Cotton 39 28 Polyester 46 29 25 36 31 50 42 31 45 32 35 45 30 48 For the 0.05 level of significance, answer the following questions: (a) Is there an effect due to fabric? (b) Is there an effect due to fire-retardant treatment? (c) Is there an interaction due to fabric and fire-retardant treatment?

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Question

An experiment was designed to study the effect of two factors on the fire-retard ant treatment of
fabrics. Factor A is the type of fabric (cotton versus polyester), and factor B corresponds to two
different fire-retar-dant treatments (X and Y). The results from four replications of each
combination of the two factors (expressed in terms of the number of inches of a fabric burned
after a flame test, with a smaller value indicating a better result) were as follows:
Treatment
Treatment
Fabric
Y
Fabric
X
Cotton
39
28
Polyester
46
29
36
31
50
25
31
42
45
45
30
48
For the 0.05 level of significance, answer the following questions:
(a) Is there an effect due to fabric?
(b) Is there an effect due to fire-retardant treatment?
(c) Is there an interaction due to fabric and fire-retardant treatment?
(d) Plot
graph of average fabric burned for each fabric for each fire-retardant treatment.
(e) What can you conclude about the effect of fabric and fire-retardant treatment on the amount
of fabric burned?
Y 7333

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