On a particular run of a process which bottles a drink, it is thought that the...

 

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On a particular run of a process which bottles a drink, it is thought that the cleansing process of the bottles has partially failed. The bottles have been boxed into crates, each containing six bottles. It is thought that each bottle, independently of all others, has the same chance of containing impurities. A survey has been conducted, and each bottle in a random sample of 200 crates has been tested for impurities. The table below gives the numbers of crates in the sample which had the respective number of bottles which contained impurities: Number of impure bottles: Number of crates: 0 38 1 2 70 58 3 4 5 6 25 6 2 1 Test the goodness of fit of a binomial distribution with parameter p=0.25083 to these observations On a particular run of a process which bottles a drink, it is thought that the cleansing process of the bottles has partially failed. The bottles have been boxed into crates, each containing six bottles. It is thought that each bottle, independently of all others, has the same chance of containing impurities. A survey has been conducted, and each bottle in a random sample of 200 crates has been tested for impurities. The table below gives the numbers of crates in the sample which had the respective number of bottles which contained impurities: Number of impure bottles: Number of crates: 0 38 1 2 70 58 3 4 5 6 25 6 2 1 Test the goodness of fit of a binomial distribution with parameter p=0.25083 to these observations

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This is a constrained optimization problem We want to minimize the objective function 34a x 1 2 x y ... View the full answer