Bb https:/... U Exam N... uous - G The University would like to investigate whether the Faculty of Law spend less time on online teaching activities than the Faculty of Marie) d Education. The total number of hours that lecturers spend on online activities per week were recorded and the descriptive statistics are summarised in the table below: Law Education Sample Size n1 = 16 n2 = 12 Sample Mean X1 = 19.13 X2 = 23.08 Sample Standard Deviation $1 = 3.324 $2 = 6.037 Let: . M1 = the population mean for the time (in hours) that lecturers at the Faculty of Law spend on online teaching activities . M2 = the population mean for the time (in hours) that lecturers at the Faculty of Education spend on online teaching activities Given: The time spent on online activities for both faculties is normally distributed with unequal variances. When performing the appropriate hypothesis test, the test statistic has a t distribution with 15 degrees of freedom and the p-value is 0.0294. a) The alternative hypothesis is: O Ha : M1 - M2 = 0 O Ha : M1 - M2 > 0 Q Ha : M1 - M2 # 0 O Ha : M1 - M2 2 0 O Ha : M1 - M2