.Personal Health Expenditures. Data made available through the Petersen-Kaiser Health System Tracker showed health expenditures were $12,531 per person in the United States for the year 2020. Use $12,531 as the population mean and suppose a survey research firm will take a sample of 100 people to investigate the nature of their health expenditures. Assume the population standard deviation is $2750. . What is the probability the sample mean will be within +$200 of the population mean? What is the probability the sample mean will be greater than $14,000? If the survey research firm reports a sample mean greater than $14,000, would you question whether the firm followed correct sampling procedures? Why or why not?