100% Correct MOS3330 Homework 9 solutions

PA 9-3 (Algo) A company making tires for bikes is concerned…

A company making tires for bikes is concerned about the exact width of its cyclocross tires. The company has a lower specification limit of 22.9 millimeters and an upper specification limit of 23.6 millimeters. The standard deviation is 0.19 millimeters and the mean is 23.2 millimeters.

What is the process capability index for the process?

Note: Round your answer to 4 decimal places.

PA 9-10 (Algo) You are thinking about the things that can go…

You are thinking about the things that can go wrong on your trip home over the Thanksgiving break. You have booked a flight with US-Scareways. You know that in 39 percent of the cases the company has canceled the flight you are on. Should such a thing occur, there would be no other air travel option home for you. As a backup, your friend Walter has offered you a ride back. However, you know that Walter only has a seat in his car for you with 90 percent probability.

What is the probability of you making it home for the holidays?

Note: Round your intermediate calculations and final answer to 4 decimal places.

PA 9-4 (Static) Consider again the company making tires for…

Consider again that the company making tires for bikes is concerned about the exact width of its cyclocross tires. The company has a lower specification limit of 22.8 millimeters and an upper specification limit of 23.2 millimeters. The standard deviation is 0.15 millimeters and the mean is 23 millimeters.

  1. What is the probability that a tire will be too narrow?Note: Round your answer to 6 decimal places.
  2. What is the probability that a tire will be too wide?Note: Round your answer to 6 decimal places.
  3. What is the probability that a tire will be defective?Note: Round your answer to 6 decimal places.

Additional Algo 9-7 Event Trees

A data entry process involves 3 steps, each of which has an equal probability of introducing an error in to the data. If the goal is to achieve 99.6% accuracy overall.

What is the highest allowable error probabilty for each step?

Note: Round your answer to 4 decimal places.

Additional Algo 9-9 p-Charts

An online retailer samples 220 outgoing shipments each day. On an average day, 4.3% of these outgoing shipments has a defect.

When preparing a p-chart, what value will represent the center line of the chart?

Note: Round your answer to 3 decimal places.

Additional Algo 9-6 Event Trees

A manufacturing process has five steps. At each step, there is a probability of a defect occuring. Steps 1, 2, and 5 have a defect probability of 0.09. Step 3 has a defect probability of 0.08 and step 4 has a defect probability of 0.09.

What is the probability that a unit will not be defective?

Note: Round your answer to 4 decimal places.

Solutions with Explanation

PA 9-3 (Algo) A company making tires for bikes is concerned…

A company making tires for bikes is concerned about the exact width of its cyclocross tires. The company has a lower specification limit of 22.9 millimeters and an upper specification limit of 23.6 millimeters. The standard deviation is 0.19 millimeters and the mean is 23.2 millimeters.

What is the process capability index for the process?

We compute the process capability index as:

Cp = (USL − LSL) ÷ 6 σˆσ^

= (23.6 − 22.9) ÷ (6 × 0.19)

= 0.6140

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