1. Many people, after posting something on a social media platform, keep checking the responses and reactions, repeatedly. Two of my friends are among such people. I wish to know who is the bigger junky. So, I measured the time gap between two consecutive times when they checked his social media account and get the following data:

First Friend: 4.5 5.25 5.5 5.5 6.25

Second Friend: 4.0 5.25 5.0 5.0 6.75

1. Please help deciding about it using Hypothesis testing concepts. Mention the underlying assumptions and provide their justifications.
2. If a large similar data forces me to consider population standard deviations as 2 in both cases, what would be the difference in the analysis and conclusion?Mention the underlying assumptions and their justifications.