BBM511 - Quantitative Techniques, Electronic Component In A Manufacturing Plant - Average Defective Rate - Engineering Assignment Help

Assignment Task

Answer all the questions.  
1. (a) From past statistics on the production of an electronic component in a  manufacturing plant, it is expected that the average defective rate for the  component produced by the assembly line is 20 parts per million. Recently,  the plant has implemented a new operating procedure for the assembly of  this component. The management expects this new assembly procedure to  further reduce the defective rate of the component assembly. In order to  justify this improvement, a random sample of 20 shifts of the production line has been selected and the defective rate found in each shift recorded. The  sample mean defective rate of the component and its standard deviation  are 25 parts per million and 10 parts per million respectively.  

Assuming the defective rate in each shift of the assembly line is normally  distributed,  
Q- construct 95% confidence interval for mean defective rate to assemble the component using new operating procedure.

Q-Is the new working procedure effective in altering the overall  defective rate of the component?  
Q- how large a sample shifts of production should be taken if the  estimated error for mean defective rate is within 2 parts per million  at 95% of confidence level ? 

Q-  The following are the quarterly petrol sales (in thousands of litres) of a local  petroleum company for the past three years.

Q-  Comment on the trend and seasonality for the quarterly petrol sales  of the local petroleum company.  

Q- Compute the four-quarter centred moving average for the time  series given.  

Q-  Compute and interpret the petrol sales seasonal index for each  quarter.  

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