You may need to use the appropriate appendix table or technology to answer this question. Employees at a regional hospital spend an average of $6 per day on lunch, with a standard deviation $2. A simple random sample of 100 employees is studied. (a) What is the expected value of the sampling distribution of the sample mean? $ What is the standard deviation of the sampling distribution of the sample mean? (Round your answer to the nearest cent.) $ What is the shape of the sampling distribution of the sample mean? A skewed to the left A uniform A skewed to the right A normal A exponential (b) What is the probability that the sample mean will be at least $5.50? (Round your answer to four decimal places.) (c) What is the probability that the sample mean will be at least $6.30? (Round your answer to four decimal places.)