Two independent groups of students were selected to participate in a study to determine if having video lectures in an online class has an effect on test scores. The students were randomly (SRS)...

Two independent groups of students were selected to participate in a study to determine if having video lectures in an online class has an effect on test scores. The students were randomly (SRS) placed into 2 groups, one group was the online class of 30 students with video lectures and the other group was the online class of 33 students without video lectures. The average test score on the online class of 30 students with video lectures was x-bar:  87 with a standard deviation of s = 1.8 and the average test score the online class of 33 students without video lectures x-bar = 86 with a standard deviation of s = 3.2. Is there enough evidence at the 1% level that the test scores of the online class with video lectures are higher than the test scores of the online class without video lectures? Set up the hypothesis testing:

a) Ho: u1 = u2 The average test scores of the online class with video lectures are equal to the average test scores of the online class without video lectures. Ha: u1 > u2 The average test scores of the online class with video lectures are greater than the average test scores of the online class without video lectures.

b) Ho: u1 = u2 The average test scores of the online class with video lectures are equal to the average test scores of the online class without video lectures. Ha: u1 < u2="" the="" average="" test="" scores="" of="" the="" online="" class="" with="" video="" lectures="" are="" less="" than="" the="" average="" test="" scores="" of="" the="" online="" class="" without="" video="">

c) Ho: u1 - u2 = 0 The average difference of the test scores of the online class with video lectures and the average test scores of the online class without video lectures is 0. Ha: u1 - u2 less than 0 The average difference of the test scores of the online class with video lectures and the average test scores of the online class without video lectures is less than 0.

d) Ho: u1 = u2 The average test scores of the online class with video lectures are equal to the average test scores of the online class without video lectures. Ha: u1 not equal to u2 The average test scores of the online class with video lectures are not equal to the average test scores of the online class without video lectures.