1. A safe investment for the non-expert is the certificate of deposit (CD) issued by many banks and other financial institutions. Typically, the greater the term of the investment, the higher the interest rate paid. The following table gives samples of 6-month CD rates and 12-month rates for a $10000 investment. 6-month 5.10 5.10 5.31 5.00 5.26 5.10 5.26 5.02 5.15 12-month 5.20 5.40 5.28 5.20 5.59 5.83 5.21 5.40 5.25 5.21 a) Is the average interest rate for 12-month CD higher than the 6-month CD?(5 Points) b) Find a 99% confidence interval for the difference in the two population means.(3 Points)