I have a few discussions I can use help making relevant points that I can later post. Looking for any help to accomplish this ASAP. Discussion 1: Take a look at the STATS part of Sense about Science USA, scroll down (about 2/3 of the way) to STATS Forum. Zero in on one of the topics, and tell us what you think. Get there by: senseaboutscienceusa.org/stats/ Discussion 2: 2 professors taught different sections of a required course at a university. Both had ten students in their respective classes, sections 980 and 981. Their students evaluated them, giving the numbers here: 980 1, 4, 3, 4, 5, 5, 4, 3, 4, 5 981 3, 4, 5, 5, 3, 4, 4, 4, 3, 3 showing their overall satisfaction with the class . Rank ranges from from 1 (lowest) to 5 (highest). Can someone tell from the mean & the median (of each section) which instructor was more popular with the students? After finding the (sample) standard deviations, does that info affect your responses to the prior question? Explain why (or why not). Discussion 3: A graduate student in mathematics & physics is looking for five members of his dissertation committee. He has been working closely with three professors in the mathematics department, and 5 professors in the physics department on his dissertation research. How may ways can this graduate student choose among the professors if the committee head must be a mathematician, and the rest of the committee can be a mix of mathematicians and physicists? Discussion 4: Imagine you are in a game show, with valuable prizes to win. There are 4 prizes hidden on a game board with 16 spaces. One prize is worth $4000, another is worth $1500, and two are worth $1000 each. But! You are also told that, in the rest of the spaces, there will be a penalty of $50 you must pay to the host for not making the "wise" choice. However, you aren't required to pick a space because the host gives this offer beforehand: Choice #1: A sure prize of $400 cash. Just take the money and walk away. Period. Choice #2: Take your chance and play the game....... What would be your choice? Take the money and run, or play the game? Why??? (the most important part of this topic) Explain your reasoning. Discussion 5: In the North American court system, a defendant is assumed innocent until proven guilty - - that means the court system's null hypothesis is what? In an ideal (Just) world, the truly innocent will always go free, and the truly guilty will always be convicted. Type I (incorrect rejection of null) and Type II (incorrect retention of null) errors could occur in the legal system. If that is the case, what are the court system equivalents of Type I and II errors? Purely in terms of outcomes, which one would the defendant prefer? which one would the prosecuting attorney prefer? Discussion 6: Does drinking coffee (or sodas with caffeine) influence the time someone is awake? Treat the table's data below as valid (because it's actually all made-up). These numbers represent how long 10 volunteers stayed awake performing some simple tasks: 1.9, 0.8, 1.1, 0.1, -0.1, 4.4, 5.5, 1.6, 4.6, 3.4 What does the single negative entry indicate? Explain which formula you selected, then calculate the 95% confidence interval for the average time these volunteers can stay awake (you can use a device for the actual #-crunching). Discussion 7: Search for an article about "Replication Crisis" (you may use Wikipedia's if you like). What does this "crisis" refer to? (what does it mean for "knowledge" if a study can't be replicated?) What are at least 2 ways this issue involves statistics, or statistical procedures? Cite the source article you selected, and include at least 1 (relevant) quotation from it