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Hi,kindly reply with whole answers correct,accurateanswers and step by step working.Do not skip step.Be very clear and mention about the formula for each step.Make sure the answers are correct and accurate. Be very organised with the working and systematic.Please explain to support and make it clear.

STA MARCH 2016

QUESTION 5 a) The following table list the number of defective(s) 60-watt light bulbs found in samples of 200 bulbs selected over 10 days from a manufacturing process. Day Defective(s) Day Defective(s) O AUN. 10 D) Find the fraction of the defective(s) 60-watt light bulbs for each day. If a control chart is to be constructed, calculate the center line and control limits for the fraction of the defective(s) 60-watt light bulbs from the manufacturing process. Plot the fraction of the defective(s) 60-watt light bulbs in the control chart in (ii) and comment on the manufacturing process. (11 marks) b) The overall length (in cm) of a cigarette lighter used in an automobile application is monitored using the control limits of mean and range charts. The following are statistics and three sigma control limits obtained from 10 samples, each containing three cigarette lighters. Ex=108.75 _R=59 Lower ControlLimit = 6.574 Upper ControlLimit = 15.176 i) By assuming the process meets the specification, estimate the potential and actual process capabilities if the specification limits for the above data is 10.500 + 1cm. Interpret the values obtained in (1). (9 marks)