Use the sample information x⎯⎯x¯ = 43, σ = 3, n = 11 to calculate the following confidence intervals for μ assuming the sample is from a normal population. (a) 90 percent confidence. (Round your answers to 4 decimal places.)  The 90% confidence interval is from _______ to ________  (b) 95 percent confidence. (Round your answers to 4 decimal places.)  The 95% confidence interval is from ______ to  _______ (c) 99 percent confidence. (Round your answers to 4 decimal places.)  The 99% confidence interval is from _______ to  _______ (d) Describe how the intervals change as you increase the confidence level.  The interval gets narrower as the confidence level increases.The interval gets wider as the confidence level decreases.The interval gets wider as the confidence level increases.The interval stays the same as the confidence level increases.

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Asked Sep 29, 2019
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Use the sample information x⎯⎯x¯ = 43, σ = 3, n = 11 to calculate the following confidence intervals for μ assuming the sample is from a normal population.
 
(a) 90 percent confidence. (Round your answers to 4 decimal places.)
  
The 90% confidence interval is from _______ to ________ 
 
(b) 95 percent confidence. (Round your answers to 4 decimal places.)
  
The 95% confidence interval is from ______ to  _______
 
(c) 99 percent confidence. (Round your answers to 4 decimal places.)
  
The 99% confidence interval is from _______ to  _______
 
(d) Describe how the intervals change as you increase the confidence level.
  

  • The interval gets narrower as the confidence level increases.
  • The interval gets wider as the confidence level decreases.
  • The interval gets wider as the confidence level increases.
  • The interval stays the same as the confidence level increases.
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Step 1

Given Data

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n 11 Formula to calculate the confidence interval X+ Ζα x 2

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Step 2

a) 90 percent confidence interval.

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a 1- 0.9 = 0.1 0.05 2 NORM. S. INV(0.05)) Zo.05 -1.6449 (From Excel 3 C.I 431.6449 x 11 (41.5121,44.4879) 11 The 90% confidence interval is from 41.5121 to 44.4879

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Step 3

b) 95 percent confide...

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a 1- 0.95 = 0.05 0.025 2 Zo.025 (From Excel = NORM.S. INV(0.025)) -1.95996 3 C.I 431.9599 x 11 (41. 2272, 44.7728) The 95% confidence interval is from 41.2272 44.7728 to

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