A production manager is interested to know if the distribution of defective items produced by three machines are homogeneous. From a random sample of 200 items produced by machine I it was found that 150 items have no falt, 30 items have one fault and rest of the items have more than one fault. Of the 180 items produced by the machine II it was found that 85% items have no fault, 10% items have one fault and rest of the items have more than one fault. From a total of 220 items produced by machin III, it was found that 205 items have no fault, 10 items have one fault and rest of the items have more than one fault. (a) Construct the contigency table considering status of defectives in row and type of machine in column (b) What percentage items with one fault produced by each of the machine I and III? (c) Test at 5% significance level whether the distribution of defective items produced by three machines are homogeneous or not?
A production manager is interested to know if the distribution of defective items produced by three
machines are homogeneous. From a random sample of 200 items produced by machine I it was
found that 150 items have no falt, 30 items have one fault and rest of the items have more than one
fault. Of the 180 items produced by the machine II it was found that 85% items have no fault, 10%
items have one fault and rest of the items have more than one fault. From a total of 220 items
produced by machin III, it was found that 205 items have no fault, 10 items have one fault and rest
of the items have more than one fault.
(a) Construct the contigency table considering status of defectives in row and type of machine
in column
(b) What percentage items with one fault produced by each of the machine I and III?
(c) Test at 5% significance level whether the distribution of defective items produced by three
machines are homogeneous or not?
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