12. For each of the following F values, indicate whether the F is statistically significant at the specified alpha level: a. F = 3.80, df = 4, 40 a = 0.01 b. F = 3.85, df = 3, 27, a = 0.05 c. F = 4.19, df = 2, 150, a = 0.01 d. F = 2.39, df = 2, 250, a = 0.05 Solution a. F= 0.0103 (check F table) is larger than a=0.01, F is not statistically significant b. F= 0.0205 (check F table) is less than a=0.05, F is statistically significant c. F=0.017 (check F table) is larger than a=0.01, F is not statistically significant d. F= 0.0937 (check F table) is larger than a=0.05, F is not statistically significant.

1. 12. Solve the congruence 2x = 7 (mod 17).
from discrete math and its appl.
chap 3.7 # 12
Solution
2x = 7 (mod 17). ;
2x - 7 is divisible by 17 ;
2x - 7 = 17 q ; q is a natural number ;
the minimum value of q is 1 ; q = 3 , 5 , 7 , all the odd numbers satisfy this ;
2x - 7 = 17 * 1 ; x =12 ;
2x - 7 = 17 * 3 ; x = 29 ;
2x - 7 = 17 * 5 ; x = 46 .....etc ;