Question: The U.S. Census Bureau conducts a study to determine the time needed to complete a short form. The Bureau surveys 200 people. The sample mean

The U.S. Census Bureau conducts a study to determine the time needed to complete a short form. The Bureau surveys 200 people. The sample mean is 8.2 minutes. There is a known population standard deviation of 2.2 minutes (from a past study). The population distribution is assumed to be normal.

  1. Identify the following (if you believe any of the following can not be identified or calculated based on information given, put N/A as its answer):
    • x(i.e. x-bar ) = _____
    • = _____
    • n = _____
    • s = _____
  2. Construct a 90% confidence interval for the population mean time to complete the forms. Provide answers to the following (show your calculation):
    • Confidence interval = __________________
    • Maring of error = __________________
    • Normal distribution graph showing confidence interval - draw it either manually using pen/paper or using touch screen drawing tools or related tools). You can attach the graph as a file or insert it as an image into your post. = __________________

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