Q) A sample of 200 components is selected from the output of a factory that uses three different machines to manufacture these components. Each component in the sample is inspected to determine whether or not it is defective. The machine that produced the component is also recorded and the data is given below: Machine 1 2 3 Total Outcome Defective 8 6 12 26 Non-Defective 54 62 58 174 Total 62 68 70 200 Using a 0.05 level of significance, answer the following questions: i) Which statistical technique will be applied in this scenario? ii) Calculate Expected values of all the observed values. iii) Calculate the calculated value of the statistical technique you applied

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Q) A sample of 200 components is selected from the output of a factory that uses three different machines to manufacture these components. Each component in the sample is inspected to determine whether or not it is defective. The machine that produced the component is also recorded and the data is given below:

   Machine

 1 2 3 Total

 

Outcome Defective 8 6 12 26

 Non-Defective 54 62 58 174

Total 62 68 70 200

Using a 0.05 level of significance, answer the following questions:

i) Which statistical technique will be applied in this scenario?

ii) Calculate Expected values of all the observed values. 

iii) Calculate the calculated value of the statistical technique you applied

 

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