The lengths of the pins made by the automatic lathe are normally distributed with a mean of 1.012 inches and a standard deviation of 0.018 inch. The customer will buy only those pins with lengths in the interval 1.00 ( 0.02 inch, that is, between 0.98 inches to 1.02 inches. The probability of a pin having a length between 0.98 and 1.02 is 0.6339. Therefore, we can say that 63.39% of the pins produced will be acceptable to the customers. This is a very low acceptance level.

In order to improve the percentage accepted, either the mean or the standard deviation needs to be adjusted. In order to maximize the acceptable percentage of pins keeping the standard deviation same, the mean needs to be adjusted to a value that is exactly between the tolerance limits. This will ensure that the tolerance limit will cover the maximum area under the standard normal curve which in turn means that the acceptance probability will be maximum. Thus, the mean needs to be set to 1.00 inches. This will make the probability of creating a pin within the tolerance limit as 0.7335. Thus, 73.35% of the pins would be acceptable when the mean is set to 1.00.

If the mean cannot be adjusted, but the standard deviation can be reduced, the maximum value of standard deviation that would make 90% of the parts acceptable (probability = 0.90) is 0.00624 inches. For making 95% of the parts acceptable, the standard deviation needs to be reduced to 0.00486. Similarly, for making 99% of the parts acceptable, the standard deviation needs to be reduced to 0.00343.

In practice it is easier to adjust the mean as compared to standard deviation. While adjusting the mean, the total cost involves only the engineer’s time and the cost of the production time lost. The cost of reducing the population standard deviation involves, in addition to these costs, the cost of overhauling the machine and reengineering the process.

...Pin-Up or Pin-Down?
Pin-Up Grrrls: Feminism, Sexuality, Popular Culture is a book written by Maria Elena Buszek that explains how third-wave feminists are taking back pin-up culture. This new pin-up culture is shown developing through a 150 year time span. Buszek examines old and new female sex symbols as well as the beginnings of this new revival of the pin-up genre. This book illustrates how women are...

...Read the Case – Acceptance Sampling of Pins of Complete Business Statistics and answer the following questions.
Also use the templates to verify the answer. Check and see the effect on acceptance of pins, when the mean and standard deviations are manipulated. Identify the most profitable situation based on cost of reengineering.
1. What is the probability that a batch will be acceptable to the consumer and if the probability is large enough to be an...

...in an early industrial pin factory from Adam Smith’s Wealth of Nations to the organizing and structuring of work. The relation will be described done by examining the division and specialization of labour, requirements that lead to the need for coordination, Horizontal and Vertical Differentiation required for coordination and how structure/hierarchy arises and if it is in fact needed.
We can see that through the division and specialization of labour that Adam Smith’s...

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...The 3 Pin Plug
The three pin plug is the most commonly used and one of the most important devise we use every day. Although it is an simple devise it is the most impotent part of any electrical object we use. And as we are getting more and more dependent on technology the plug is becoming increasingly important in our lives.
Explosion View:
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List of components and material used:
|Name |Material...

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Another inventor is the tenth century optician and physicist Abu Ali al-Hassan ibn al-Hassan ibn al-Haytham, simply known as al-Haytham, who invented the pinhole camera and discovered how the eye works.
The ancient Greeks...

...from a peer- reviewed nursing journal. This article was selected by this writer earlier in the course. The critique process for this article will cover steps learned during this course.
A Quantitative Research
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...Pin Hole Camera.
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Up to a certain point, the smaller the hole, and the sharper the image, but the dimmer the projected image....