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...


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

Extracted text: 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

Jun 07, 2022
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