1) a company makes boxes of crackers that should weigh 213g. a
quality-control inspector randomly selects boxes to weigh. any box
that varies from the weight by more than 5g is sent back. what is the
range of allowable weights for a box of crackers?

The boxes can weight at most 5 grams less than the desired amount, so they can't be lighter than

grams

Similary, they can't weight more than 5 grams more than the desired amount, so they can't be heavier than

grams

So, the acceptable range is between 208 and 218.