Problem 1. (Answer the questions that follow the case descri…

Problem 1. (Answer the questions that follow the case description) The size of a pizza was measured by 5 students, each using 3 different types of measuring tapes. We would like to know if there is a significant difference among the three measuring tapes. Note: Only one pizza was used for all the measurements, but the pizza was measured three times by each student, once using each measuring tape.

Problem 3. A tech startup tests 4 keyboard layouts (A, B, C,…

Problem 3. A tech startup tests 4 keyboard layouts (A, B, C, D) to see which yields faster typing speed (words per minute) for novice users. Thirty‑two (32) volunteers are randomly assigned in a completely randomized design with 8 users per layout, and each user completes one timed trial. The company analyzes the between‑layout variation with a one‑way ANOVA. The total sum of squares and treatment (factor) sum of squares are calculated as follows:  SSTotal = 1040 SSTreatment = 480  

The experiment was designed and analyzed as a RCBD (Randomiz…

The experiment was designed and analyzed as a RCBD (Randomized Complete Block Design) with the following ANOVA results: SS Factor = 60 SS Block = 20 SS Error = 40 If this same experiment were analyzed instead as a completely randomized design (CRD), what would be the total sum of squares for the ANOVA results? Enter only the numeric value — no units, symbols, or text.

For the next two questions, use the following case as contex…

For the next two questions, use the following case as context: A popular dietary supplement is being tested for efficacy. Twenty individuals were enlisted as test subjects and each individual was randomly assigned to one of two test groups — the placebo group and the treatment group. Both groups received a pill but only 10 of those were true dietary supplements (the other 10 are placebo pills).