30 points) A Manufacturer suspects that the batches of raw material furnished by

Question

30 points) A Manufacturer suspects that the batches of raw material furnished by his supplier differ significan in calcium content. There are a large number of batches currently in the warehouse. Four o randomly selected for study. A chemist did the experiments and obtained the following data. tly f these are Batch 1 23.46 23.48 23.56 23.39 23.40 Batch 2 Batch 3 Batch 4 23.59 23.46 23.42 23.49 23.50 23.51 23.64 23.46 23.52 23.49 23.28 23.40 23.37 23.46 23.39 a) What is the number of replicates in these experiments? b) What is the response variable (output)? c) What is the factor? d) How many factors do we have for this problem? e) How many levels are considered for the factor? What test should be used to know whether all 4 different batches have the same effect on mean of calcium content? f0

Explanation / Answer

A) here all batch are repeated only one time , i.e batch 1 one time, batch 2 one time , etc. So it's only single replacate design.

B) here calcium content is a response variable .

C) how many ways we are tasting the problem , here batch is only single factor we are tasting.

D) here batch is only one factor we have.

E) here batch has 4 levels i.e batch 1 , batch 2 , batch 3 and batch 4.

F) we can analyse the above problem usingvtheu one Way ANOVA , in that batch ia one factor .

The simplest way to test the there is any significant difference between the all barech on not , is ANOVA

Thanks

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