THE STUDY
The study began with deciding upon the topic which is to be studied. I looked at the websites of former projects, and I saw that no one had done a study on whether students view the school’s quality differently than the teachers. Then I wrote the project proposal which established my sample sizes, 60 current students and 20 current teachers. The population is all students and teachers currently at North Olmsted High School. The survey was also developed at this time. The question on the survey is how would you rate the overall quality of North Olmsted High School. The survey taker can answer from one to five, lowest to highest. The other question is whether the survey taker is a teacher or student. Afterwards I used the Minitab worksheet containing all the eligible students at North Olmsted High School to create the sample of 50 students by sampling from columns. For the teachers, I used the North Olmsted High School website directory and put their names into a worksheet. I then created a sample of 20 teachers using the same method. I looked up the student’s study hall information in the guidance office using the student schedules box. I copied the student and teacher’s information onto post it notes to be attached to the survey, which were distributed to the proper teacher. The teacher either answers the survey if it was for them or gave it to the student.
THE SURVEY:
TAY
How would you rate the overall quality of North Olmsted High School?
(Circle One)
1 2 3 4 5
Lowest Highest
Are you a teacher or student?
(Circle One)
Teacher Student
Two-Sample T-Test and CI: Student, Teacher
Two-sample T for Student vs Teacher
N Mean StDev SE Mean
Student 49 2.65 1.22 0.17
Teacher 21 3.62 1.02 0.22
Difference = mu (Student) - mu (Teacher)
Estimate for difference: -0.966
95% CI for difference: (-1.536, -0.396)
T-Test of difference = 0 (vs not =): T-Value = -3.41 P-Value = 0.001 DF = 44
μ1=The true mean of student's quality ratings
μ2=The true mean of teacher's quality ratings
Ho: μ1=μ2
Ha: μ1 ≠μ2
alpha= 0.05
We used random and independently chosen samples. We had to assume normality since teacher sampled<30.
t = (2.65-3.62) – 0.122797/√(1.222/28+1.022/21)
n1 = 49 x1 = 2.65 s1 = 1.22
n2 = 21 x2 = 3.62 s2 = 1.02
t = -3.41 df = 44
p-value = 0.001
We reject Ho at the 0.05 level of significance since the p-value is less than alpha. Therefore we have sufficient evidence that the true mean of students’ quality ratings of North Olmsted High School differs from the true mean of teachers’ quality ratings of North Olmsted High School.