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In: Statistics and Probability

Use the sample information x¯ = 40, σ = 7, n = 13 to calculate the...

Use the sample information x¯ = 40, σ = 7, n = 13 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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