Determine whether the following statement is true or false and then explain with an example: "due to a downturn in the economy, a small town in nevada lost 20% of its population. however, after a significant improvement in the economy, this same town then gained 20% more people. in the end, the town's population was the same as it was before the downturn."

The management of a supermarket wants to adopt a new promotional policy of giving a free gift to every customer who spends more than a certain amount per visit at this supermarket. the expectation of the management is that after this promotional policy is advertised, the expenditures for all customers at this supermarket will be normally distributed with a mean of $95 and a standard deviation of $20. if the management wants to give free gifts to at most 10% of the customers, what should the amount be above which a customer would receive a free gift?