Final answer:
The x2 left and x2 right for a 99% confidence interval using the chi-square distribution with 17 degrees of freedom can be found by referring to the chi-square distribution table.
Step-by-step explanation:
The x2 left and x2 right for a 99% confidence interval using the chi-square distribution with 17 degrees of freedom can be found by referring to the chi-square distribution table. Since we are looking for a two-tailed interval (99% confidence interval), we need to split the significance level of 1% into two equal portions. Each tail will have an area of 0.5%.
Using the chi-square distribution table with 17 degrees of freedom, we can find the critical values for the left and right tails. The x2 left corresponds to the value that has an area of 0.5% (0.005) to its left, and the x2 right corresponds to the value that has an area of 0.5% (0.005) to its right.
Referencing the table, the x2 left for a 0.005 area to the left is approximately 7.564 and the x2 right for a 0.005 area to the right is approximately 32.852. Therefore, the values x2 left = 7.564 and x2 right = 32.852 can be used to construct a 99% confidence interval.