Question

The Standard Normal Distribution with a mean of 0 and a standard deviation of 1 has...

The Standard Normal Distribution with a mean of 0 and a standard deviation of 1 has been used to calculate areas under the normal distribution curve. Originally, quality control analysts were content to confine all data within +/- three standard deviations from the mean. The Ford Motor Company in the mid 1980s decided to try to confine all data within +/- four standard deviations from the mean. Six Sigma, the newest quality venture, is trying to confine all data within +/- six standard deviations from the mean. If the distance between the mean and the three, four, and six sigma limits is the same for all three, what must be happening to the value of the standard deviation and what impact might that have in the control of quality and the production of usable outputs? (Hint: you might want to check Z values for +/- 3, 4, 6 and see what is happening to the probabilities of values beyond these limits.)

Response due by Thursday 11:59pm; [up to 10 points] In eight to ten well-constructed sentences, respond to DQ 3. Be sure to use proper grammar, as well as correct spelling and punctuation.

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