Auto pistons at Wemming Chung's plant in Shanghai are produced in a forging process, and the diameter is a critical factor that must be controlled. From samples sizes of 10 pistons produced each day, the mean and the range of this diameter have been as follows: Day Mean (mm) Range (mm)
1 156.9 4.2
2 153.2 4.6
3 153.6 4.1
4 155.5 5.0
5 156.6 4.5
a. What is the value of ˉˉx?
b. What is the value of ˉR?
c. What are the UCL ¯x and LCL ¯xusing 3σ? Plot the data.
d. What are the UCLR and LCLR using 3σ? Plot the data.
e. If the true diameter's mean should be 155 mm and you want this as your center (nominal) line, what are the new UCL ¯x and LCL ¯x ?

there are so many examples for that in different areas, like biology experiment carried out in our lab recently.

here's one link :

being born in poverty would limit the people's chances, opportunities and benefits.

this happen because of several things, such as:

- poor people tend to gain less access to good education and nutrition. this mean that their chance to obtain high paying jobs would also be limited.

- poor people tend to socialize with other poor people while the rich tend to socialize with other rich people. this means that simply throguh their social circle, rich people would have more business opportunities compared to the poor people.

- rich people tend to have more capital in their disposal. this would benefit them in business since it is far easier for them to fund their business operation compared to poor people.

staple goods and impulse goods are examples of convenience products which consumers usually  buy. these products can be bought almost everywhere and are readily available for purchase. usually, the quality and price of the product are not considered. examples of staple goods are sugar and bread, while impulse goods examples are chocolates and magazine.