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...

Use the sample information x⎯⎯x¯ = 43,σ = 3,n = 11 to calculate the following confidence intervals forμ 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.

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  The interval gets narrower as the confidence level increases.

  
  

  
  
  
  


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  The interval gets wider as the confidence level decreases.

  
  

  
  
  
  


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  The interval gets wider as the confidence level increases.

  
  

  
  
  
  


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  The interval stays the same as the confidence level increases.