Exercise 12- 12. Imagine that you have access to sample data from the us. State Department about the amount of money different nations spend on educational programs designed to foster goodwill with citizens from other countries. While you would prefer full access to the data, the State Department agrees to tell you only the population mean and to provide you with a sample of the population data. You reluctantly agree, pending verication that the sample data is representative of the population data. The population mean is $13.4 million. The hypothetical sample data to which you have access is listed in table 12-6. Use a t-test to determine whether the data to which you have access is representative of the population data by testing the mean of your data against the population mean provided by the State Department. You should use a two-tailed test and a 95 percent confidence level. Explain how a t-test could help you decide whether using the sample data is sufficient. Show your work.\f