You have obtained a job with the state department of Public Safety. Your boss wants to generate an aggressive campaign to encourage seat belt use.However, he needs some help in convincing the legislature to fund the project. He asks you to find out what the hospital costs are for those who are in an accident and wearing their seat belts. You find a study that took a random sample of 20 accident victims who were wearing seat belts and found a mean of $9004 with a standard deviation of $2629. Construct a 95% confidence interval for the true population mean of the hospital costs.What do you find? If the mean cost for those in an accident who do NOT wear seat belts is $17,895, does this give your boss evidence to present to the legislature that your program would be effective in cutting costs?Why or why not?