A study on the topic of juvenile delinquency is examining age of first juvenile court referral. Using a random sample of 157 youth in a juvenile correctional facility, a sample mean of 13.4 years of age and standard deviation of 1.5 years is calculated. Please answer the following questions

a. Using = .01, calculate the resulting confidence interval for this variable.

b. Using = .05, calculate the resulting confidence interval for this variable.

c. Interpret the two confidence intervals, to show understanding of the use of confidence intervals and applying them to studying age of first juvenile court referral.