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Question

A company considers itself to have quality processes in line with 6Ïƒ principles. Measurement of inspection time, from a large sample of a specific engine part, gave the following distribution: Time (sec) Number 50-79 1 80-109 5 110-139 11 140-169 10 170-199 4 200-229 1 You have been asked to determine: 1) The mean inspection time 2) The standard deviation (in seconds). You should also present a graphical illustration of the distribution using appropriate computer software. From the data gathered and processed, you have been asked to determine: 3) The maximum and minimum limits that inspection time might take (assuming the distribution to be normal and 6Ïƒ compliant - all times within mean Â± 3Ïƒ) 4) The probability that a randomly chosen inspection time will be greater than 180 seconds 5) The probability that a randomly chosen inspection time will be shorter than 60 seconds One of the machines is causing quality problems as 9.2% of the engine parts produced on this machine have been found to be defective. Find the probability of finding 0, 1, 2, 3, and 4 defective parts in a sample of 50 parts (assuming a binomial distribution). You should also present a graphical illustration of the probabilities using appropriate computer software. Measurement of inspection time, from a large sample of outsourced components, gave the following distribution: Time (sec) Number 20 1 22 3 24 2 25 3 27 4 28 3 29 3 31 4 Your manager thinks that the inspection time should be the same for all outsourced components. Using the data provided, test this hypothesis and indicate whether there is a correlation or not. Your manager has asked you to summarize, using appropriate software, the statistical data you have been investigating in a method that can be understood by non-technical colleagues.

          A company considers itself to have quality processes in line with 6Ïƒ principles. Measurement of inspection time, from a large sample of a specific engine part, gave the following distribution:

Time (sec)         Number
50-79                1
80-109              5
110-139            11
140-169            10
170-199             4
200-229             1

You have been asked to determine:
1) The mean inspection time
2) The standard deviation (in seconds). You should also present a graphical illustration of the distribution using appropriate computer software.

From the data gathered and processed, you have been asked to determine:
3) The maximum and minimum limits that inspection time might take (assuming the distribution to be normal and 6Ïƒ compliant - all times within mean Â± 3Ïƒ)
4) The probability that a randomly chosen inspection time will be greater than 180 seconds
5) The probability that a randomly chosen inspection time will be shorter than 60 seconds

One of the machines is causing quality problems as 9.2% of the engine parts produced on this machine have been found to be defective. Find the probability of finding 0, 1, 2, 3, and 4 defective parts in a sample of 50 parts (assuming a binomial distribution). You should also present a graphical illustration of the probabilities using appropriate computer software.

Measurement of inspection time, from a large sample of outsourced components, gave the following distribution:

Time (sec)               Number
20                            1
22                            3
24                            2
25                            3
27                            4
28                            3
29                            3
31                            4

Your manager thinks that the inspection time should be the same for all outsourced components. Using the data provided, test this hypothesis and indicate whether there is a correlation or not.

Your manager has asked you to summarize, using appropriate software, the statistical data you have been investigating in a method that can be understood by non-technical colleagues.

Added by Anthony W.

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