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 three areas of the city at the significance level of 0.01. (Round your answers to 3 decimal places, if needed.) Source df SS MS Between Groups Within Groups Total 3 1.52 304.76 6.28 F- P- Stat value 0.0376 (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 0.01? Select one: There is not enough evidence to conclude that the mean price of homes are the same for all three areas. There is not enough evidence to conclude that the mean price of homes are not all the same for these three areas. There is enough evidence to conclude that the mean price of homes are not all the same for these three areas. There is not enough information given in the question to make a conclusion. There is enough evidence to conclude that the mean price of homes are the same for all three areas.