A Single Population Mean using the Normal Distribution · Exercise 11
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 8.2 minutes. There is a known standard deviation of 2.2 minutes. The population distribution is assumed to be normal.
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?
OpenStax, Introductory Statistics 2e · §8.1 A Single Population Mean using the Normal Distribution · Exercise 11
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