Find the interval [ μ−zσn√,μ+zσn√μ−z⁢ σn,μ+z⁢ σn ] within which 95 percent of the sample means would be expected to fall, assuming that each sample is from a normal population. (a) μ = 200, σ = 12, n = 36. (Round your answers to 2 decimal places.)  The 95% range is from ______   to ________  . (b) μ = 1,000, σ = 15, n = 9. (Round your answers to 2 decimal places.)  The 95% range is from _______  to ________  . (c) μ = 50, σ = 1, n = 25. (Round your answers to 3 decimal places.)  The 95% range is from _______  to ________  .

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.7: Solving Inequalities
Problem 84E
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Find the interval [ μ−zσn√,μ+zσn√μ−z⁢ σn,μ+z⁢ σn ] within which 95 percent of the sample means would be expected to fall, assuming that each sample is from a normal population.
 
(a) μ = 200, σ = 12, n = 36. (Round your answers to 2 decimal places.)
  
The 95% range is from ______   to ________  .
 
(b) μ = 1,000, σ = 15, n = 9. (Round your answers to 2 decimal places.)
  
The 95% range is from _______  to ________  .
 
(c) μ = 50, σ = 1, n = 25. (Round your answers to 3 decimal places.)
  
The 95% range is from _______  to ________  .

 
 
 
 
 
 
 
 
 
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