Question 1031434
Yes, your assumption is correct.
Ho=same or more
Ha=less  They are asking whether this is lower than the industry average.  This is a one-way test, not a two way test, which would ask whether it were the same or different.
alpha=0.10
critical value about -1.285
t df=132 = (179-186)/61/sqrt(133)
t=-7(sqrt(133))/61
=-1.32
this is significant, because t<-1.285 , and the average commission is less than $186.
We use the t-distribution because the sample sd is used as an estimate for the population sd.  The sample size of 30 has been used as a cutoff point for years, for unclear reasons.  If the distribution is near normal, a sample size of greater than 10 would be sufficient to use the normal distribution.  If the distribution is skewed, even a sample size of 100 might not be sufficient.  In any case, the error gets less an less with larger sample sizes, and over 100, the error is about 2%.