• The average number of strokes for a tool is 45,000.
• The standard deviation is 2,500 strokes.
• A punch has a total of 25 mm that can be ground off before it is no longer useful.
• Each regrind to sharpen a punch removes 1 mm of punch life.
• The cost to regrind is:
• 2 hours of press downtime to remove and reinsert tool, at $300 per hour
• 5 hours of tool maintenance time, at $65 per hour
• 5 hours of downtime while press is not being used, at $300 per hour
• The average wait time for unplanned tool regrind is 15 hours at $300 per hour.

Because of the large number of strokes per tool regrind, this is considered to be a continuous distribution. The normal curve probability distribution is applicable.

Case Study Part II

Using the data provided in Case Study Part I above, perform calculations to answer the following questions:

• What is the probability that a tool will last?
• 52,000 strokes
• 41,000 strokes
• 45,000 strokes

Given the production life data provided in Case Study 9.2 in the text, answer the following questions:

• What is the mean and standard deviation of the "production over life of tool"?
• What is the probability that the "production over life of tool" will be:
• 1,200,000
• 875,000
• 1,042,000

Given your analysis of the questions in Part I of the case study, what is the probability that:

• The tool will be pulled for regrind 20 times
• The tool will be pulled for regrind 23 times
• The tool will be pulled for regrind 18 times
• The tool will be pulled for regrind 25 times

Submit your document with snapshots of your control charts. In addition, submit the spreadsheet file used to create your charts.