Bookstores like education, one reason being that educated peopleare more likely to spend money on books. National data show thenationwide average education level to be 13 years of schoolingcompleted, with an SD of about 3 years, for persons age 18 andover. A bookstore is doing a market survey in a certian county, and takesa simple random sample of 1,000 people age 18 and over. They find the average educational level to be 14 years, and the SD is 5years. Can the difference in average educational level between thesample and the nation be explained by chance variation? If not,what other explanation can you give?