In: Statistics and Probability
a) Since the two groups Graduate student instructor and Full professor are independent therefore we will use t test of independent.
b) NULL HYPOTHESIS
ALTERNATIVE HYPOTHESIS Ha:
ASSUMPTIONS:EQUAL VARIANCES ASSUMED SATISFIED (P VALUE =0.954>0.05)
t test statistic t= -0.958
degrees of freedom= 14
P value= 0.354
Since P value GREATER than the level of significance hence NOT SIGNIFICANT.
Decision: DO NOT REJECT NULL HYPOTHESIS H0.
c) From the above analysis we can conclude that we don't have sufficient evidence to show that students waiting times for the arrival of an instructor who is a full professor than for one who is a graduate student is not different at 0.05 level of significance.