Comparing Per Capita Incomes. Use this information for Exercises 9 and 10. According to the U.S. Census Bureau, the mean per capita income in Texas is $25,800, whereas the mean per capita income in Florida is $26,500. Suppose both distributions are normal, each with a standard deviation of $8000. Suppose we take samples of 100 residents of each state.

Question 7.199

9.

  1. Find the probability that the sample mean per capita income in Texas will exceed $27,000.
  2. Find the probability that the sample mean per capita income in Florida will exceed $27,000.