According to the American Time Use Survey results released by the Bureau of Labor Statistics on June 24, 2015, on a typical day, 65% of American men age 15 and over spent some time doing household activities such as housework, cooking, lawn care, or financial and other household management. Assume that this percentage is true for the current population of all American men age 15 and over. Let p̂ be the proportion of American men age 15 and over in a random sample of 600 who, on a typical day, spend some time doing household activities mentioned above. Find the mean and standard deviation of the sampling distribution of p̂ and describe its shape.