16. Correct. The answer is true
(a) If the area to the right of χ 22 = 0.05, then the area to the left of χ 2 = 0.95 and χ22 represents the 95th percentile, χ0.952. From the table on chi-squared distribution, it follows that χ22=11.1.
(b) Since the distribution is not symmetric, there are many values for which the total area to the left of χ21 and to the right of χ22 = 0.05. For example, the area to the left of χ21 could be 0.03 and to the right of χ22 could be 0.02. However, it is customary to choose the two areas equal. In this case each area = 0.025. If the area to the right of χ22 is 0.025, then the area to its left is 0.975 and χ22 represents the 97.5th percentile, which according to the Chi-Square distribution table is 12.8. Similarly, if the area to the left of χ21 is 0.025, then χ21 represents the 2.5th percentile which according to the Chi-Square distribution table is 0.831.
(c) If the area to the left of χ 21 is 0.10, then χ 21 represents the 10th percentile, which equals 1.61.
(d) If the area to the right of χ22 is 0.01, then χ22 represents the 99th percentile which equals 15.1