The data file TestTimes contains data on the time (in minutes) taken by 33 students to complete a multiple choice exam and the students’ scores (as a percentage out of 100) on the exam. Investigate whether the data provide evidence of an association between the time to take the test and the score achieved on the test.
a. Produce a scatterplot and describe the association between the variables.
b. Report the value of the correlation coefficient between these variables.
c. Conduct a simulation-based analysis of whether the correlation coefficient differs significantly from zero. Report the p-value along with a screen capture of the simulated null distribution of correlation values.
d. Conduct a t-test based on the correlation coefficient. Report the value of the test statistic and p-value.
e. Summarize your conclusion.