For the purposes of this assignment you will need to use the data posted, that is, will need to use the data from a professor's course evaluations attached to this assignment.

The spreadsheet data includes data from one professor for one academic year. Responses could come from the fall semester (1) or the spring semester (2). The professor also kept track of which classes began early in the morning (numbered as 1; indicating starting at or before 9:30am) and those which came later in the day (numbered as 0 and indicating start times after 9:30). Each row of the table represents one student and each column one measure on which students were asked to rate their professor. A low score indicates a student disagrees with a statement and a high value indicates a student more strongly agrees with a statement. The statements are abbreviated:

Abbreviation The professor... ------------------------------- Ob_clear has stated course objectives clearly Clr_std_eval made clear the standards and procedures of student evaluation High_std expects high standards of performance Relevant gives tests relevant and/or complementary to lectures and assignments Help_comm makes helpful comments on papers and exams Grade_fairly grades fairly and impartially Pres_mat presents material in an organized, understandable manner Hold_att is effective in holding students' attention in class Meet_as_sch consistently meets his/her class as scheduled Pres_cur_dev presents current developments related to subject Rel_topics relates topics to other areas of knowledge Part_in_Dis encourages students to participate in class discussion Res_Dv_Vw respects divergent viewpoints Suff_time_ques allows sufficient time for questions Avail_out_class is generally available to students outside class Concern_4_all shows concern for all students Is_helpful is helpful whenever students are confused about material Thnk_nw_wys has helped me to think in new ways

generate hypothesis and test using this data

• It is my personal teaching experience that more students come to class sleepy/groggy in the early morning compared to later in the day. I might suspect it is more difficult to engage students in these early morning classes. First I need to identify which variables might be used to evaluate if students are feeling engaged. I might feel "The professor is effective in holding students' attention in class" (Hold_att) and "The professor encourages students to participate in class discussion" (Part_in_Dis) might be two such measures.
• State in terms of a hypothesis test, with H0H0 and HAHA, what we might test if we think the professor struggled to engage students in early morning classes.
• Conduct the appropriate hypothesis tests for the previous two bullet points and display the results.
• Be sure to test if the assumptions of your test are correct!
• Interpret what these results mean (Are they statistically significant? What does that mean?)

AY	Semester	Before_930	Ob_clear	Clr_std_eval	High_std	Relevant	Help_comm	Grade_fairly	Pres_mat	Hold_att	Meet_as_sch	Pres_cur_dev	Rel_topics	Part_in_Dis	Resp_Div_Vw	Suff_time_ques	Avail_out_class	Concern_4_all	Is_helpful	Thnk_nw_wys	Amt_time
1	1	0	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	1
1	1	0	4	4	4	4	4	4	4	4	4	4	3	4	4	4	4	4	4	4	1
1	1	0	4	4	4	4	4	4	3	4	4	3	3	3	4	4	4	4	4	4	1
1	1	0	4	4	4	4	3	4	3	3	4	3	3	3	4	4	4	4	4	4	1
1	1	0	4	4	4	3	3	4	3	3	4	3	3	3	3	4	4	4	4	4	1
1	1	0	3	4	4	3	3	4	3	3	4	3	3	3	3	4	3	3	4	3	1
1	1	0	3	3	3	3	3	3	3	3	4	3	3	3	3	3	3	3	3	3	1
1	1	0	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	0
1	1	0	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	0
1	1	0	3	3	3	3	3	3	2	3	3	3	3	2	3	3	3	3	3	2	0
1	1	0	3	3	3	3	3	3	2	3	3	3	3	2	3	3	3	3	3	2	0
1	1	0	3	3	3	3	3	3	2	2	3	3	3	2	3	2	3	2	3	2	0
1	1	0	3	3	3	2	3	3	2	2	3	3	3	2	3	2	3	2	2	2	0
1	1	0	3	3	3	2	2	3	2	2	3	2	2	2	3	2	3	2	2	2	-1
1	1	0	2	2	3	2	1	2	2	2	2	2	2	1	3	2	2	2	2	1	1
1	1	0	2	2	3	2	1	2	1	2	2	2	2	1	2	1	2	1	1	1	1
1	1	0	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	1
1	1	0	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	3	4	4	1
1	1	0	3	4	3	3	3	3	3	3	4	3	3	3	4	4	3	3	4	3	1
1	1	0	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	0
1	1	0	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	0
1	1	0	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	-1
1	1	0	3	3	3	3	3	3	3	2	3	3	3	3	3	3	3	3	3	3
1	1	0	3	3	3	3	2	3	2	2	3	3	3	3	3	3	3	3	3	3
1	1	0	3	2	2	3	2	3	2	2	3			3	3	3	3	3	3
1	1	1	4	4	4	4	4	4	4	3	4	4	4	4	4	4	4	4	4	4	1
1	1	1	4	4	4	4	4	4	4	3	4	4	4	4	4	4	4	4	4	4	1
1	1	1	4	4	4	4	4	4	4	3	4	4	4	4	4	4	4	4	4	4	1
1	1	1	4	4	4	4	4	4	3	3	4	4	4	4	4	4	4	4	4	4	1
1	1	1	4	4	3	3	4	4	3	3	4	4	4	3	4	4	4	4	4	3	1
1	1	1	3	4	3	3	3	3	3	3	4	3	4	3	3	4	4	3	4	3	1
1	1	1	3	3	3	3	3	3	3	3	4	3	3	3	3	3	3	3	4	3	1
1	1	1	3	3	3	3	3	3	3	3	4	3	3	3	3	3	3	3	4	3	1
1	1	1	3	3	3	3	3	3	3	3	4	3	3	3	3	3	3	3	3	3	1
1	1	1	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	1
1	1	1	3	3	3	3	3	3	3	2	3	3	3	2	3	3	3	3	3	3	0
1	1	1	3	3	3	3	3	3	3	2	3	3	3	2	3	3	3	3	3	3	0
1	1	1	3	3	3	2	3	3	3	2	3	2	3	2	3	3	3	3	3	3	0
1	1	1	3	3	3	2	3	3	3	2	3	2	3	2	3	3	3	3	3	3	0
1	1	1	3	3	2	2	2	3	3	1	3	2	2	2	3	3	3	3	3	2	0
1	1	1	3	3	2	2	2	3	2	1	3		2	2	2	2	3	2	2	2	-1
1	1	1	2	3	2	2	2	2	2	1	1		2	1	2	2	2	1	2		-1
1	1	1	1	2	2	2	2	1	2				2				2
1	1	0	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	1
1	1	0	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	1
1	1	0	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	1
1	1	0	4	4	4	3	4	4	4	4	4	4	4	3	4	4	4	4	4	4	0
1	1	0	4	4	4	3	3	4	4	4	4	4	3	3	4	4	4	4	4	4	0
1	1	0	4	4	4	3	3	3	4	4	4	4	3	3	3	4	4	4	4	4	0
1	1	0	4	3	4	1	3	3	4	4	4	3	3	3	3	4	4	3	4	4	0
1	1	0	3	3	3		3	3	3	3	3	3	2	3	3	4	3	3	3	3	0
1	1	0	3	3	3			3	3	3	3	3	1	2	3	4	3	3	3	3	-1
1	1	0	3	2	3				3	3	3	3		2	3	4	3	3	3	3	-1
1	1	0	3	1	3				3	3	3	3			3	1		3	3	3	-1
2	2	0	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	1
2	2	0	4	4	4	3	4	4	4	3	4	4	3	4	4	4	4	4	4	4	1
2	2	0	4	4	4	3	3	4	4	3	3	4	3	3	3	4	4	4	4	4	1
2	2	0	3	4	4	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	1
2	2	0	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	1
2	2	0	3	3	3	2	3	3	3	3	3	3	3	3	3	3	3	3	3	2	0
2	1	0	3	3	3	2	3	3	3	3	3	3	2	3	3		3	3	3	2	0
2	1	0	3	3	3	2	3	3	3	2	3	3	2	2	2						0
2	2	0	4	4	4	4	4	4	4	4	4	4	4	4	3	4	4	4	4	4	1
2	2	0	4	4	4	4	4	4	3	3	4	4	4	3	3	4	4	4	4	4	1
2	2	0	4	4	4	4	4	3	3	3	4	3	3	3	3	3	4	4	4	4	0
2	2	1	4	4	4	4	4	3	3	3	3	3	3	3	3	3	4	3	4	3	0
2	2	1	3	4	4	4	2	3	2	3	3	3	3	3	3	3	3	3	3	3	0
2	2	1	3	4	4	3	2	3	1	2	3	3	3	3	2	3	3	3	3	2	0
2	2	1	3	3	4	3	2	2		1	3	2	2	1	2	1	2	2	2	2	0
2	2	1	3	3	3	3	1	2		1	3	2	2	1		1	2	2	1		-1
2	2	1	3	3	3	2
2	2	0	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	1
2	2	0	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	0
2	2	0	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	0
2	2	0	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	-1
2	2	0	3	3	4	4	3	4	3	2	4	3	3	3	4	4	4	3	4	4	-1
1	2	1	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	1
1	2	1	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	1
1	2	1	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	1
1	2	1	4	4	4	4	3	4	4	4	4	4	4	4	4	4	4	4	4	4	1
1	2	1	4	4	4	4	3	4	4	3	4	4	4	3	4	3	3	4	4	4	1
1	2	1	4	4	4	4	3	4	4	3	4	4	4	3	4	3	3	4	4	4	0
1	2	1	4	4	4	4	3	4	4	3	4	4	4	3	4	3	3	3	4	4	0
1	2	1	4	4	4	4	3	4	4	3	4	4	3	3	4	3	3	3	3	3	0
1	2	1	4	4	4	4	3	4	3	3	4	4	3	3	3	3	3	3	3	3	0
1	2	1	4	4	4	3	3	4	3	3	4	3	3	3	3	3	3	3	3	3	0
1	2	1	4	3	4	3	3	4	3	3	4	3	3	3	3	3	3	3	3	3	0
1	2	1	4	3	3	3	3	3	3	3	4	3	3	3	3	3	3	3	3	3	0
1	2	1	3	3	3	3	2	3	3	3	3	3	3	2	3	3	3	3	3	3	-1
1	2	1	3	3	3	3	2	2	3	2	3	3	3	2	2	3	2	3	3	2	-1
1	2	1	3	3	3	3	1	2	2	2	3	3	3	2	2	2	2	2	2	2	-1
1	2	1	3	2	3	2	1	2	2	2	3	3	3	2	2	1	1	2	1	1	-1
1	2	0	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4
1	2	0	4	4	3	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	1
1	2	0	4	4	3	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	1
1	2	0	4	4	3	4	4	4	4	3	4	4	4	4	4	4	4	4	4	4	0
1	2	0	4	4	3	4	4	4	4	3	4	3	4	4	4	4	4	4	4	3	0
1	2	0	4	4	3	4	3	4	3	3	4	3	3	3	3	4	3	4	4	3	0
1	2	0	4	4	3	3	3	4	3	3	4	3	3	3	3	4	3	3	4	3	0
1	2	0	4	4	3	3	2	3	3	3	4	3	3	3	3	3	3	3	3	3	0
1	2	0	3	3	3	3	2	3	3	3	3	3	3	3	3	3	3	3	3	3	-1
1	2	0	3	3	3	3	2	3	2	3	3	2	3	3	3	3	3	3	3	3	-1
1	2	0	3	3	3	3	2	2	2	3	3	2	3	3	3	3	3	2	2	2	-1
1	2	0	2	3	2	3	2	2	2	3	3	2	2	2	2	3	3	2	2	2	-1
1	2	0	2		2	2	1	2	1	3	3	1	2		1	2	2	2		2	-1
2	2	0	4	3	3	3	3	3	3	4	4	4	4	3	4	4	4	4	4	3	1
2	2	0	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	1
2	2	0	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	0
2	2	0	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	0
2	2	0	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	3	4	0
2	2	0	3	3	3	3	2	3	2	2	3	3	2	3	3	3	2	2	1	1	0