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Back to 8.4 Calculating the Sample Size n: Continuous and Binary Random Variables

8.4 Exercise 13

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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 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 Business Statistics 2e, 8.4 Calculating the Sample Size n: Continuous and Binary Random Variables, exercise 13

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Adapted from Introductory Business Statistics 2e © 2023 Rice University. Licensed under CC BY 4.0. Source: Introductory Business Statistics 2e. Imported at revision 50ec917.