[In-Class Activity] Explain It: Process Control Indices

1. Your group has been assigned 1 of the 6 Process Control Indices questions below.
2. 0.1 Open the Team Boards and choose the topic “Explain It Process Indices”.
3. 0.2 Pick the problem for your team's question. (Forgot your team number? Check at Canvas >> People >> Finalized Groups.)
4. 0.3 Put your team name and your members in the header first, before you write anything else — that is what makes the board yours and what we present from.
5. 1. Answer your question in the Notes pane; put any code in the Code pane. The questions:
   • Q1. Indices C_p and P_p have a key difference from indices C_pk and P_pk. What is that difference, and what kind of data does it help us analyze?
   • Q2. Indices C_p and C_pk measure a different kind of variation from indices P_p and P_pk. What is that difference, and why might we need to measure one kind of variation instead of the other?
   • Q3. What is a bootstrapped confidence interval, and how does it differ from a so-called ‘usual’ confidence interval? (Theory question)
   • Q4. What is the sample_n() function from dplyr, what does it do, and how do we use it to bootstrap confidence intervals? (Code question)
   • Q5. How do you generate a confidence interval, without bootstrapping, for each index? Explain what it does — don't just copy code.
   • Q6. What is a z-score? When do we use it? Why do we say qnorm(0.975)?
6. 2. Press Save, then Copy for Canvas, and paste it into the Canvas card.
7. We present straight from the boards in the presenter view — about 2 minutes per team.

Submit on CANVAS here [link] (1 pt) — graded on completion. Press Save, then Copy for Canvas on your board, and paste it into the Canvas text box.