3.) The mean starting salary for nurses is $67,694 nationally ("Staff nurse -," 2013). The standard deviation is approximately $10,333. The starting salary is not normally distributed but it is mound shaped. A sample of 42 starting salaries for nurses is taken. a.) State the random variable. b.) What is the mean of the sample mean? c.) What is the standard deviation of the sample mean? d.) What is the shape of the sampling distribution of the sample mean? Why? e.) Find the probability that the sample mean is more than $75,000. f.) Find the probability that the sample mean is less than $60,000. 194