Use the sample informationx

x= 36,= 5,n= 12 to calculate the following confidence intervals forassuming 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.