In: Math
A sample containing years to maturity and yield for 40 corporate bonds are contained in the data given below.
| Years to Maturity | Yield | Years to Maturity | Yield | |||
|---|---|---|---|---|---|---|
| 23.50 | 4.757 | 3.75 | 2.769 | |||
| 21.75 | 2.473 | 12.00 | 6.293 | |||
| 21.50 | 4.464 | 17.50 | 7.411 | |||
| 23.50 | 4.684 | 18.00 | 3.558 | |||
| 27.00 | 4.799 | 8.25 | 0.945 | |||
| 18.25 | 3.755 | 23.25 | 2.966 | |||
| 15.75 | 7.068 | 14.75 | 1.476 | |||
| 2.00 | 7.043 | 10.00 | 1.382 | |||
| 8.75 | 6.540 | 23.00 | 6.334 | |||
| 5.25 | 7.000 | 15.25 | 0.887 | |||
| 11.25 | 4.823 | 4.75 | 4.810 | |||
| 25.75 | 1.874 | 18.00 | 1.238 | |||
| 14.25 | 5.654 | 3.00 | 6.767 | |||
| 19.25 | 1.745 | 9.50 | 3.745 | |||
| 25.00 | 8.153 | 17.50 | 4.186 | |||
| 6.75 | 6.571 | 17.00 | 5.991 | |||
| 23.00 | 7.506 | 9.50 | 7.322 | |||
| 19.00 | 2.857 | 5.50 | 4.871 | |||
| 10.75 | 8.010 | 27.50 | 2.403 | |||
| 21.25 | 4.214 | 26.00 | 4.500 | |||
a. What is the sample mean years to maturity for corporate bonds and what is the sample standard deviation?
| Mean | ? (to 4 decimals) | 
| Standard deviation | ? (to 4 decimals) | 
b. Develop a 95% confidence interval for the population mean years to maturity. Round the answer to four decimal places.
( , ) years
c. What is the sample mean yield on corporate bonds and what is the sample standard deviation?
| Mean | ?(to 4 decimals) | 
| Standard deviation | ?(to 4 decimals) | 
d. Develop a 95% confidence interval for the population mean yield on corporate bonds. Round the answer to four decimal places.
( , )percent
Answer a)
Mean and standard deviation for years to maturity for corporate bonds has been calculated using MS Excel:


| Mean | 15.6875 | 
| Standard deviation | 7.4678 | 
Answer b)

A 95% confidence interval for the population mean years to maturity is (13.2988,18.0762) years
Answer c)
Mean and standard deviation for yield on corporate bonds has been calculated using MS Excel:


| Mean | 4.5961 | 
| Standard deviation | 2.1648 | 
Answer d)

A 95% confidence interval for the population mean yield on corporate bonds (3.9037, 5.2885) percent