Solution
For this case we can do the following:
A. Ha: mu >6, alpha= 0.05, n= 11
df= 11-1= 10
t_crit= 1.812
B. Ha: mu <6, alpha= 0.05, n= 17
df= 17-1= 16
t_crit= -1.746
C. Ha: mu != 6, alpha= 0.05, n= 23
df= 23-1= 22
t_crit= +2.073 and -2.073
D. Ha: mu != 6, alpha= 0.10, n= 9
df= 9-1= 8
t_crit= +1.859 and 1.859
E. Ha: mu > 6, alpha= 0.01, n= 14
df= 14-1= 13
t_crit= 2.650