Conduct a permutation test to investigate whether face-to-face students have a higher mean Exam score than online students. 

• Define the observed difference as: face-to-face - online. 
• Use a seed of 24205242.
• Perform 5000 permutations.

Report the permuted p-value, rounded to 3 decimal places.

Construct a 95% CI for difference in mean exam score between face-to-face and online students (face-to-face minus online), irrespective of school.

What is the value of the upper bound, rounded to 2 decimal places?

Construct a 95% bootstrapped confidence interval for the population median exam score across all students, irrespective of school. 

• Using a random seed of 24205242
• Use 5000 bootstrap samples and the percentile method.

Which of the statements below is correct?

Construct a 99% CI of the mean score score, for the Arts School. The lower and upper bounds are:

Create a variable indicating whether a student passed the exam (use < 50 as 'not pass' and >=50 as 'pass'), irrespective of school. Then construct a 95% CI for the population proportion using the normal approximation.

What is the value of the lower bound, rounded to 2 decimal places?

The 90% Confidence Interval of the mean Exam score, irrespective of school has lower and upper bounds of:

Create a new variable called "Travel burden" using the following formula:

Travel burden = Age x Distance

Then determine the mean travel burden for face-to-face students, irrespective of school. Round your answer to the nearest whole number.

Create a boxplot to examine the difference in Exam scores across School. Which school has the most outliers?

Which school has the strongest correlation between Week 8 Test Scores and Exam Scores?

For students from the Arts school, what is the median exam score? Round your answer to the nearest whole number.