THE STUDY

First, we started by trying to obtain a sample of 160 North Olmsted High School students, which would be about 10.0% of the students of North Olmsted High School. We later changed that to only 150 students, because we found the correct number of students much less than we thought, and we need to have less than 10.0% of the population. We thought 1,602, however it was more around 1,530. We decided 150 would be a good sample to send out. We opened the list of all the students in North Olmsted High School that we got to use for this survey, and used a random generator to randomly select 150 students. We obtained the list of those 150 selected students from this randomization.

Then, we found a class they were in and sent them the survey, which is below:

SURVEY AAJK

1. How many adults (not brothers or sisters) live in your house? (Check one)

_____ 1 Adult _____ 2 Adults _____ 3 or More Adults

2. Please state your current cumulative Grade Point Average (GPA).

________________

3. Are you Male or Female? _____ Male _____ Female

4. What grade are you currently in?

_____ 9^th Grade _____ 10^th Grade

_____ 11^th Grade _____ 12^th Grade

5. How old are you?

_____ 14 years old or younger _____ 15 years old

_____ 16 years old _____ 17 years old

_____ 18 years old _____ 19 years old or older

6. If you currently reside in a one adult household, does the adult work full time, part time, or are they unemployed?

_____ Full time job _____ Part time job _____ Unemployed

7. If you currently reside in a two or more adult household, what is the total number of jobs worked of each type by adults? (ex. 2 Full Time – two jobs are full time jobs)

_____ Full Time

_____ Part Time

_____ Unemployed

Test of Single Parent Household students GPA vs. Two+ Parent Household students GPA.

1	µ₁ = The true mean grade point average from students from single-parent households µ₂ = The true mean grade point average from students from two or more parent households
2	H_o: µ₁ = µ₂
3	H_a: µ₁ µ₂
4	α = 0.05
5	Assumptions: Sample is random, samples are independently selected. We assume our sample is normal because of our fitted line plot normality test.
6	t = = 0.08
7	p-value = 0.94
8	Conclusion: We failed to reject our null hypothesis at any reasonable level of significance because our P-value is much greater than Alpha (0.94). Therefore, there is insufficient evidence to say that the true mean grade point average from students from single-parent households differs from the true mean grade point average from students from two or more parent households.

Two-Sample T-Test and CI: SingleGPA, PairGPA

Two-sample T for SingleGPA vs PairGPA

            N   Mean  StDev  SE Mean
SingleGPA  26  3.154  0.648     0.13
PairGPA    80  3.143  0.705    0.079

Difference = mu (SingleGPA) - mu (PairGPA)
Estimate for difference:  0.011
95% CI for difference:  (-0.290, 0.313)
T-Test of difference = 0 (vs not =): T-Value = 0.08  P-Value = 0.940  DF = 45

Test of Male GPA vs. Female GPA

1	µ₁ = The true mean grade point average for Females µ₂ = The true mean grade point average for Males
2	H_o: µ₁ = µ₂
3	H_a: µ₁ µ₂
4	α = 0.05
5	Assumptions: Sample is random, samples are independently selected, both sample sizes are large so we can assume normality with the Central Limits Theorem.
6	t = = 2.36
7	p-value = 0.02
8	Conclusion: We rejected the null hypothesis at the 0.05 level of significance because our p-value was less than Alpha. Therefore, we have sufficient evidence to say that there is a difference in the true mean grade point average between males and females.

Two-Sample T-Test and CI: C2, C11

Two-sample T for C2 vs C11

      N   Mean  StDev  SE Mean
C2   55  3.295  0.662    0.089
C11  51  2.984  0.687    0.096

Difference = mu (C2) - mu (C11)
Estimate for difference:  0.310
95% CI for difference:  (0.050, 0.571)
T-Test of difference = 0 (vs not =): T-Value = 2.36  P-Value = 0.020  DF = 102

Number of Parents vs. Grade Point Average

References

THE STUDY