This is Statistics.. Provide clean and readable solution.

A machine produces metal rods used in an automobile suspension system. A random sample of 12 rods is selected, and the diameter is measured. The resulting data (in millimeters) are as follows: 8.24 8.25 8.20 8.23 8.21 8.26 8.26 8.20 8.23 8.23 8.19 8.28 Compute a 95% prediction interval on the diameter of the next rod tested. Give the lower limit and upper limit, respectively. [In solving for the lower and upper limit, round the mean and standard deviation up to 3 decimal places. Then, write your final answer as a decimal number, and round it up to 2 decimal places.]