QUESTION 4 Four different machines are being considered for use in manufacturing

Question

QUESTION 4 Four different machines are being considered for use in manufacturing rubber seals. The machines are being compared with respect to tensile strength of the product. A random sample of 4 seals from each machine is used to determine whether the mean tensile strength varies from machine to machine. The following are the tensile strength measurements in kilograms per square centimeter x 10 (kg/cm x 101). Table 1: Tensile strength for each machines Machine Tensile strength 17.5 16.9 15.8 18.6 16.4 19.2 17.7 15.4 20.3 15.7 17.8 18.9 14.6 16.7 20.8 18.9 4 a) Identify the dependent and independent variables. (2 Marks, CoL/PoI) b) How many treatment(s) are there in this study? 1 Mark, CO1/PO1) c) How many replications involved in each treatment?

Explanation / Answer

(a)

Dependent variable: tensile strength of the rubber seals

Independent variable: 4 machines

(b) Number of treatments : 4

(REASON: There are 4 different machines)

(c) Number of replications invoved in each treatment: 4

(REASON: For each of the 4 machines, sample of 4 seals is used)

(d) Analysis of Variances (ANOVA) Model for testing equality of 4 populations ( here, 4 different machines)

AS PER GUIDELINES FOR ANSWERING, (a) TO (d) ARE ANSWERED.

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