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In: Statistics and Probability

The following data was drawn from an industry, there were 12 machine's working hours and number...

The following data was drawn from an industry, there were 12 machine's working hours and number of units they could produce was tabulated as follows,

Hours (X) 80 79 83 84 78 60 82 85 79 84 80 62
Production(Y) 300 302 315 330 300 250 300 340 315 330 310 240

a) The management wish to know that the relation between working hours and their corresponding output is in a benefited way. Justify you answer with the management's hypothesis. Apply correlation coefficient formula for testing the hyposthesis.

b) Using appropriate software, you are asked to summarise the above statistical data you have been investigating in a method that can be understood by non-technical colleagues.

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