Texting vs. GPA

 

The Study

 

In order to obtain the sample we chose to conduct a survey sent to randomly selected students during one of their classes.

JAST

AP Stats Student Project

You have been randomly selected to participate in this survey. Please take a moment to fill your answers truthfully. = )

* Student survey, your answers will not be seen by any administrator

Do you text during school?      Yes      No

              What is your cumulative G.PA?      

 

Null Hypothesis: Students who do not text have a higher GPA.

Alternative Hypothesis: Students who do text have a higher GPA.

Significance level: α = 0.05

Test Statistic: Two-Sample T Test

Assumptions: data was independently selected and the sample sizes are large or both population distributions are normal.

Calculation

Two-sample T for GPA vs GPA2

N Mean StDev SE Mean

GPA 34 3.609 0.508 0.087

GPA2 34 2.953 0.732 0.13

Difference = mu GPA - mu GPA2

Estimate for difference: 0.656

95% lower bound for difference: 0.400

T-Test of difference = 0 (vs >): T-Value = 4.29

P-Value = 0.000

DF = 58

 

P-Value:  There were 58 degrees of freedom for this test. The computed T-value = 4.29; therefore the P-value = 0.

Conclusion: We can reject Null Hypothesis at the 0.05 level of significance. Therefore, we have sufficient evidence to say that the GPAs of students who text are higher than those GPAs of students who do not text.

DataGraphs