 A company makes chocolates. They want every one of the chocolates they make to weigh exactly 16 grams. But of course this won't happen ... there are too many things that can go wrong. In fact, something has! The quality control inspector has just taken a random sample of the chocolates produced at the plant, and discovered that, while the mean weight is 16 grams, the standard deviation is 2 grams! This means there is a big spread in the size of the chocolates; some are as small as 10 grams, and some are as large as 22 grams! Either the customers will feel cheated (with ones smaller than the mean) or the company will lose money (with ones bigger than the mean). The distribution is on the left below, and you can see it's normal-shaped. 
 Whatever is wrong will have to be fixed, especially if too many heavy chocolates are cutting down on profits, or there are too many complaints about lighter than average chocolates. In her report to management, she wants to be very specific, so she makes some calculations using the percents at the right. Chocolates were sampled from a total day's production of 100,000 chocolates. Answer the following questions. You don't need to include percent signs. |