 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 the small ones) or the company will lose money (with the big ones). Here is the distribution, and you can see that it is normal-shaped.  Already the inspector knows that something is wrong and will have to be fixed. But in his report to management, he wants to be very specific, so he makes some calculations. 1000 chocolates were sampled. Answer the following questions. You don't need to include percent signs. |