Raw Data

Graphs

Teacher's Free Time

On average, teachers only have about 23 minutes a day during the school year for personal time, including lunch.

Sampling and Population of Interest

The population of interest in our study were the students and faculty of North Olmsted High School.   All students who are enrolled in North Olmsted High School were given to us in a list which was put on Minitab. Minitab randomly selected 100 students from the list and put them alphabetically into two seperate columns. After finding out free periods in these 100 students schedules, we sent them a survery, which looks like the one below. Also, we did this for 50 teachers of North Olmsted High School. After receiving 27 out of the 50 responses for teachers and 49 responses out of the 100 for the students, we ran two two sample t-tests on the data coming up with the tests below.

Survey

Circle                                                                                                                                                     EO RG Are you a TEACHER or a STUDENT                                                                                                                     On a scale of 1-10, how disrespectful is it for a student to call a teacher by their first name?                                 (not disrespectful) 1 2 3 4 5 6 7 8 9 10 (very disrespectful)                                                                                     On a scale of 1-10, how disrespectful is it for a student to use a phone/iPod during class?                                     (not disrespectful) 1 2 3 4 5 6 7 8 9 10 (very disrespectful)

 

Significance Tests

For our survey, we had to run two significance tests on our results, one for teacher to student name relationships and one for teacher to student phone relationships.

Disrespectfulness of not using honourifics

µ1 = true mean teacher's value of disrespect towards not using honourifics

µ2 = true mean student's value of disrespect towards not using honourifics

µ1 - µ2 = difference in mean disrespect values towards not using honourifics 

Null Hypothesis: The teacher's value of disrespect is equal to the student's value of disrespect: µ1 - µ2 = 0

Alternative Hypothesis: The teacher's value of disrespect is different than the student's value of disrespect:

µ1 - µ2 ≠ 0

Alpha = 0.05        =3.31 with 60 degrees of freedom.

 Assumptions: The two samples were independently selected random samples was met. The sample size for this data was not large enough.

P-value = 0.002

Conclusion: We reject the null hypothesis at the 0.05 level of significance since our p-value, 0.002, is less than alpha, 0.05.

Disrespectfulness of using technology during class

µ1 = true mean teacher's value of disrespectfulness when student's use technology in class.

µ2 = true mean student's value of disrespectfulness when student's use technology in class

µ1 - µ2 = difference in mean disrespectfulness value for using technology during class

Null Hypotheis: The teacher's value of disrespect is equal to that of the student's: µ1 - µ2 = 0

Alternative Hypothesis: The teacher's value of disrespect is not equal to that of the student's: µ1 - µ2 ≠ 0

Alpha = 0.05   = 5.39 with 72 degrees of freedom

Assumptions: The two samples were independently selected random samples were met, but our assumption on normality and sample size value is not met.

P-value = 0.000

Conclusion: We reject the null hypothesis at any reasonable level of significance since our p-value is 0.000.