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

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Basic Math

Use the sample information

x¯= 40, σ = 7, n = 13 to calculatethe following confidence intervals for μ assuming thesample is from a normal population.

(a) 90 percent confidence. (Round youranswers to 4 decimal places.)
  
The 90% confidence interval is from ___ to___

(b) 95 percent confidence. (Round youranswers to 4 decimal places.)
  
The 95% confidence interval is from ___ to____

(c) 99 percent confidence. (Round youranswers to 4 decimal places.)
  
The 99% confidence interval is from ____to____

(d) Describe how the intervals change as youincrease the confidence level.
  

1)The interval gets narrower as the confidence levelincreases.

2)The interval gets wider as the confidence level decreases.

3)The interval gets wider as the confidence level increases.

4)The interval stays the same as the confidence levelincreases.

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