Refer to Data Set 1 in Appendix B for the total weights of garbage discarded by households in one week. For that data set, the mean is 27.44 lb and the standard deviation is 12.46 lb. At the 0.01 level of significance, test the claim that the mean weight of all garbage discarded by households each week is less than 35 lb, the amount that can be handled by the town. Based on the result, is there any cause for concern that there might be too much garbage to handle?