Use the sample information x¯ = 41, ? = 4, n = 20 to calculatethe following confidence intervals for ? assuming the sample isfrom a normal population. (a) 90 percent confidence. (Round youranswers to 4 decimal places.) The 90% confidence interval is fromto (b) 95 percent confidence. (Round your answers to 4 decimalplaces.) The 95% confidence interval is from to (c) 99 percentconfidence. (Round your answers to 4 decimal places.) The 99%confidence interval is from to (d) Describe how the intervalschange as you increase the confidence level. The interval getsnarrower as the confidence level increases. The interval gets wideras the confidence level decreases. The interval gets wider as theconfidence level increases. The interval stays the same as theconfidence level increases.