The Trudel Bay Waterfront Association (TBWA) consists of those residents in Parkwood Estates who have water access (Area variable values = "H2O" only). The TBWA is governed by a board of directors chosen at random from waterfront households to serve two-year terms. A small group of younger families wants this method of selection changed. They feel older households currently dominate the board disproportionately compared to their numbers in the population. To analyze this question, assume that your sample of 12 TBWA households with water access is actually the list of households whose members sit on the board. Test whether the dissident group has a valid argument. Does the average number of elderly members per household on the board (the sample mean for your "H2O" stratum) exceed the population mean (0.62) for all waterfront households in the Association? [Note: H_A is > 0.62, making it a one-tailed test.] Follow the p-value procedure to analyze this problem and include a normal curve image in which you label the relevant information when you interpret your results.