A study is conducted to compare the average time (in minutes) spent on an online learning platform between two groups: students using Method A and Method B. Data for 15 students from each group is collected (40 points)
Show all your calculation rather than only final results:
Method A: {45,50,46,53,55,47,49,51}
Method B: {40,42,41,43,44,39}
I. At the level of 5% test the claim that the average time spending on online platform for group A is bigger than 50
II. Create a 99% confidence interval for the average of time in group A, interpret it in the context and test the claim using this confidence interval at same level