6. A newly designed phone battery, when fully charged, is supposed to last 36 ho

Question

6. A newly designed phone battery, when fully charged, is supposed to last 36 hours witha tolerance limit of plus or minus 30 minutes under normal use. The current production process produces batteries that on average last 36.25 hours before requiring a recharge with a standard deviation of 0.20 hours. a. Is this process capable? Explain your answer. b. Changes to production process were implemented and the batteries produced now last on average 35.8 hours before requiring recharge with a standard deviation of 0.1 hours. Is this modified process capable? Explain your answer. c. If the process is still not capable what further action would you recommend to make the process capable? 7. A medical supplies company buys its supplies in bulk and redistributes them to doctor's offices and clinics. The receive thermometers in lots of 10,000 from the vendor. They are considering a sampling plan of n 60 and c 1. Develop an OC curve for this sampling plan. (Use Poisson Tables with Pd:0 to 10% in increments of 1%) Determine the producer's risk if the AQL is 0.5%. Determine the consumer's risk if the LTPD is 696. Calculate the Average Outgoing Quality and plot it. What is the value of the Average Outgoing Quality Limit? a. b. c. d.

Explanation / Answer

UCL = Average + Tolerance = 36+0.5 = 36.5

LCL = Average - Tolerance = 36 - 0.5 = 35.5

a) Mean = 36.25, s = 0.2

Let z = 3 for six sigma control

Process UCL = Mean + z*s = 36.25 + 3*0.2 = 36.85

Process LCL = Mean - z*s = 36.25 - 3*0.2 = 35.65

As the values of Process UCL higher than Tolerance, it is not capable

b) Mean = 35.8, s = 0.1

Let z = 3 for six sigma control

Process UCL = Mean + z*s = 35.8 + 3*0.1 = 36.1

Process LCL = Mean - z*s = 35.8 - 3*0.1 = 35.5

Now the process is capable as values are with tolerance limit but in the border line

c) The process needs to be further improved in terms of mean. It must be closer to 36. Standard deviation of 0.1 is okay

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