In 1930, the average size of a public restroom was 172square feet. By 1990, due to federal disability laws, the averagesize had increased to 471 square feet. Suppose that a design teambelieves that this standard has increased from the 1990 level. Theyrandomly sample 23 public restrooms in a major midwestern city andobtain a mean square footage of 498.78 with a standard deviation of46.94. Test the hypotheses about whether the mean square footage isbigger than 471 at ? = .001.