A tooth fairy wants to see if baby teeth weigh more in Champaign than they do in Urbana. Suppose it is known that the standard deviation of all teeth in the world is 0.3g. The fairy collects a sample of 30 teeth from Champaign with sample mean ro = 1.2g and 20 teeth from Urbana with sample mean ry = 1.4g. Conduct a hypothesis test at o = 0.1 to determine whether the true mean baby tooth weight is smaller in Champaign. Show your work, state your hypotheses, the value and distribution of the test statistic, the p-value or rejection region, and state your conclusion in the context of the original question. Note: all characters and events in this question, even those based on real people, are entirely fictional