You obtain an internship with state Representative Kent Smith. A group in favor of more support for state university students is lobbying him to sponsor legislation to provide a book stipend for all undergraduate students on financial aid. They argue that the mean cost of books is now over $500 per semester. They base the need for legislation to overcome the lack of overall support by the legislature for state universities and higher tuition costs per student. (The Ohio mean cost for was reported as being $450 per person with a standard deviation of $100.) The Representative knows that you took statistics and asks you to do a sample to see if this claim is realistic. You obtain information on 20 randomly selected cases. They have a distribution that appears to be normal with a mean of $ 515. Test the lobbyists claim at the .10 level. Be sure to identify the claim and write the null and alternative hypothesis. What do you conclude about the null? Is the claim supported?