THE STUDY  

When conducting this survey we took a random sample of 100 female and 100 male students. Our population in this study was every student attending North Olmsted High School. On Minitab, we opened up a roster of all the students currently attending NOHS. We used stratified sampling by randomly selecting 100 female and 100 male students for a total sample size of 200 students. After getting our selected students names and grades, we looked up their schedules. Our students range from grades 9 through 12, and a few 8th graders who are taking high school classes. By finding their schedules, we knew where to distribute our surveys to contact these students. We were unable to send out every survey because of students attending PSEOP or Polaris full time. Also, some students dropped out since the beginning of the year and were no longer available for our sample. We sent majority of the surveys to the students’ study halls, in hope to get the most back.

Our Survey

1. Circle One.             Male         Female

2. Do you have a cell phone?                       Yes                 No

           a. If so, how many minutes do you use in a typical month? ___________

           b. If so, how many text messages do you send per month? ____________

Raw Data Graphs

 


TWO SAMPLE T-TEST
minutes

 

μ1 = The average number of minutes used by females per month

μ2 = The average number of minutes used by males per month

Ho: There is no difference between male and female cell phone minutes used per month

Ha: There is a difference between male and female cell phone minutes used per month

alpha = 0.05 level of significance

assumptions:  The samples are independent and randomly selected. The Central Limit Theorom holds true because both of our sample sizes for both male and female are greater than 30.

Two-Sample T-Test and CI: Minutes, Gender 

Two-sample T for Minutes   SE
Gender   N  Mean  StDev  Mean
f       51   360    499    70
m       51   254    307    43 Difference = mu (f) - mu (m)
Estimate for difference:  106.3
95% CI for difference:  (-56.9, 269.5)
T-Test of difference = 0 (vs not =): T-Value = 1.30  
P-Value = 0.199  DF = 83


Conclusion : Since our p-value of 0.199 is greater than alpha, we failed to reject the null hypothesis at the 0.05 level of significance. Therefore, we do not have sufficient evidence to support the claim that there is a difference between male and female minute usage.

 

TWO SAMPLE T-TEST
texts

μ1 = The average number of text messages sent per month by females

μ1 = The average number of text messages sent per month by males

Ho: There is no difference between male and female text messages sent per month

Ha: There is a difference between male and female text messages sent per month

alpha = 0.05 level of significance

assumptions: The samples are independent and randomly selected. The Central Limit Theorom holds true because both of our sample sizes for both male and female are greater than 30.

 
Two-Sample T-Test and CI: Texts, Gender

Two-sample T for Texts Gender   N  Mean  StDev  SE Mean
f       51  4234   7144     1000
m       51  1994   3254      456 Difference = mu (f) - mu (m)
Estimate for difference:  2240
95% CI for difference:  (47, 4433)
T-Test of difference = 0 (vs not =): T-Value = 2.04  P-Value = 0.045  DF = 69

Conclusion: Since our p-value of 0.045 is less than alpha, we can reject the null hypothesis at the 0.05 level of significance. Therefore, we have sufficient evidence to suggest that there is a difference between male and female text messages sent.