The prices of a random sample of homes in four areas of a certain city (Areas A, B, C, and D) were recorded and the following ANOVA table was obtained, and we would like to determine whether there is a difference in the mean price of homes among these four areas of the city at the significance level of 0.01. (Round your answers to 3 decimal places, if needed.) Source Between Groups Within Groups Total (a) What is the estimate of the common standard deviation? l l (b) What is the value of the test statistic? % (c) Which of the following is a valid conclusion for this hypothesis test at the significance level of 0.01? Select one: (5) There is enough evidence to conclude that the mean price of homes are the same for all four areas. 0 There is not enough evidence to conclude that the mean price of homes are the same for all four areas. 0 There is enough evidence to conclude that the mean price of homes are not all the same for these four areas. 0 There is not enough information given in the question to make a conclusion. 0 There is not enough evidence to conclude that the mean price of homes are not all the same for these four areas