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 0.025. (Round your answers to 3 decimal places, if needed) Source Between Groups Within Groups Total df SS MS F-Stat 3 1.54 P-value 0.0368 30 4.79 6.33 (a) What is the estimate of the common standard deviation? (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 0.0257 Select one: There is not enough information given in the question to make a conclusion O There is not enough evidence to conclude that the mean price of homes are not all the same for these four areas. O There is not enough evidence to conclude that the mean price of homes are the same for all four areas O There is enough evidence to conclude that the mean price of homes are the same for all four areas. O There is enough evidence to conclude that the mean price of homes are not all the same for these four areas