Employees at a regional hospital spend an average of $7 per day on lunch, with a standard deviation $4. 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? O exponential O skewed to the right O normal O skewed to the left O uniform (b) What is the probability that the sample mean will be at least $6.10? (Round your answer to four decimal places.) (c) What is the probability that the sample mean will be at least $7.60? (Round your answer to four decimal places.)

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