Use the following information to answer the next seven exercises: The U.S. Census Bureau conducts a study to determine the time needed to complete the short form. The Bureau surveys 200 people. The sample mean is B.2 minutes. There in ; known standard deviation of 2.2 minutes, The population distribution is assumed to be normal. 6. Identify the following: In b. J C. ME 7. In words, define the random variables X and X B. Which distribution should you use for this problem? 9. Construct a 90% confidence interval for the population mean time to complete the forms. State the confidence interval, sketch the graph, and calculate the error bound. 10. If the Census wants to increase its level of confidence and keep the error bound the same by taking another survey, what changes should it make? 11. If the Census did another survey, kept the error bound the same, and surveyed only 50 people instead of 200, what would happen to the level of confidence? Why? 12. Suppose the Census needed to be 98% confident of the population mean length of time. Would the Census have to survey more people? Why or why not