Question

NeoNatrium Nutrition (NNN) is a food packaging company that offers low-sodium products. Their Chicken
Soup Sachets are very popular, particularly among folk trying to control blood pressure. One of the problems
faced by NNN is that of ensuring they meet their label claims while keeping the soup tasty. While conventional
chicken soup, as served, contains about 4.4g of salt per litre of soup, NNN's product tries to be less than half
this. However, less than 1.8 g/litre of salt causes folk to think the soup is dishwater. Therefore NNN establishes
a specification of 1.9 to 2 g/litre.
The packagin

Answer 1

The packaging of the sachets, which are intended to make 250 ml of soup (1 cup), has a label claiming "Salt:
0.5g". However, the sachets are made by combining dry ingredients (dehydrated stock, flavouring, salt and other
ingredients), so there is the possibility that by poor mixing or by poor measurement of the total sachet content,
the overall salt content of a sachet may be too high or too low

Answer 2

Take as your specification that you want sachets to contain between .46 and .49 g of salt. If you can
assume a roughly bell-shaped distribution for salt content of the sachets, what would be reasonable values for
the mean and standard deviation of this distribution? Explain briefly how you get these values