For questions 1-5 use the following scenario: A specific study found that the average number of doctor visits per year for people over 55 is 8 with a standard deviation of 2. Assume that the variable is normally distributed. 1. Identify the population mean. 2. Identify the population standard deviation. 3. Suppose a random sample of 15 people over 55 is selected. What is the probability that the sample mean is above 9? 4. Suppose a random sample of 10 people over 55 is selected. What is the probability that the sample mean will be below 7? For questions 5 - 8 use the following scenario: A study found that citizens spend on average $1950 per year on groceries with a standard deviation of $400. Assume that the variable is normally distributed. 5. Identify the population mean. 6. Identify the population standard deviation. 7. Find the probability that a sample of 20 citizens will have a mean less than $1800. 8. Find the probability that a sample of 50 citizens will have a mean less than $2000.