My population of interest for this study are specifically the students and teachers at North Olmsted High School. My instructor presiding over this study provided me with a Minitab raw data sheet of all the teachers, and another of all the students teaching and learing, respectively, at North Olmsted High School, for the year of 2012-2013. From the raw data, I clicked Calc>Random Data>Sample from columns, and sampled 50 teachers, and 100 students, to obtain statified, random samples of the two categories. Given the students and teachers whom were to be in the study, I sent out to them anonymous surveys for them to write on and return to their teachers, in order to get them them back to my instructor, who would them get them back to me. The random surveys asked the teachers/students to rank how disrespectful they think talking over your instructor is, vs. sleeping during class is, on two separate scales of one to ten, (where they would circle one, to make sure all the resonces were whole numbers), where one is not disrespectful at all, and ten is so disrespectful that the student(s) involved should be "white button'd," which at North Olmsted High School, is slang for an office referal, because when someone is sent to the office, their teacher will push a white button on the wall in order to inform the office via the P.A. system, that said student is being sent to the office.
μ1 = True mean teacher rating
of how disrespectful talking in class is.
μ2
= True mean teacher rating of how disrespectful sleeping in
class is.
H0: μ1 - μ2
= 0
Ha:
μ1 - μ2 > 0
The sample of teachers is simple, and completely random. More than 30 surveys were returned, so the Central Limit Theorem does apply, and I can assume normality.
I will use a two-sample T test, because the population
standard deviation of the two statistics are both unknown.
T
= 0.9466149070
p-value = 0.1738199645
We fail to reject the null at the 0.05 level of significance, or any reasonable level of significance, for that matter, because the p-value much greater than alpha. Therefore, there is insufficient evidence to conclude that teachers find talking in class more disrespectful than teachers find sleeping in class, on the average of both of them.
μ3 = True mean student rating
of how disrespectful talking in class is.
μ4
= True mean student rating of how disrespectful sleeping in
class is.
Ha:
μ1 - μ2 > 0
The sample of students is simple, and completely
random. More than 30 surveys were returned, so the Central Limit
Theorem does apply, and I can assume normality.
T
= 2.245094632
p-value = 0.0133941493
We can reject the null at the 0.05 level of significance because the p-value is less than alpha. Therefore, there is sufficient evidence to conclude that students find talking in class more disrespectful than sleeping, on the average of both of those.
