A machine which manufactures black polythene dustbin bags, is known to produce 3% defective bags. Following a major brea

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A Machine Which Manufactures Black Polythene Dustbin Bags Is Known To Produce 3 Defective Bags Following A Major Brea 1 (253.23 KiB) Viewed 109 times

A machine which manufactures black polythene dustbin bags, is known to produce 3% defective bags. Following a major breakdown of the machine, extensive repair work is carried out which may result in a change in the percentage of defective bags produced. To investigate this possibility, a random sample of 200 bags is taken from the machine's production and a count reveals 12 defective bags. What may be concluded? Here n=200, p = population proportion of defective bags produced, and it is required to test. Ho: P = 0.03 (no change) Hj p#0.03 (change, two-tailed) Significance level, a = = 0.05 Again, a Poisson distribution with 1 = np provides an approximation to a binomial distribution when n 250 and p 0.9) Thus, if X denotes the number of the defective bags in the sample, then under Ho X - Po(1 = 200 x 0.03 = 6.0) Using tables of the Cumulative Poisson Distribution Functions, P(X > 12 =