In: Statistics and Probability
. A teaching assistant for Statistics course as a university collected data from students in her class to investigate whether study time per week (average number of hours) differed between students who planned to go to graduate school and those who did not. The data were as follows:
Graduate school: 15, 7, 15, 10, 5, 5, 2, 3, 12, 16, 15, 37, 8, 14, 10, 18, 3, 25, 15, 5, 5
No graduate school: 6, 8, 15, 6, 5, 14, 10, 10, 12, 5.
State the null and alternative hypotheses using statistical notations. Use R command t.test to test whether study time differed between two groups. Include your R output and identify the test statistic and p-value. Draw the conclusion.
---------------------------------------------------------------------------------------------------------------------------------------
The conclusion based on the R-output: