Discuss the below in detail:
Q1 Suppose I vary the location of my remote control from 2 meters to 5 meters from the TV, the battery charge level from near empty to fully charged, and the type of receiver from new to old. I rate the responsiveness on a Likert 1 - 5 scale and time how long it takes to change between 5 predetermined channels. How many factors, levels, and response variable are relevant (present) in problem?
Q2 Plan a randomized experiment with a single factor, body type, at 2 levels (type 1 and type 2) with a total of 10 runs (including 5 at each level.)
Q3 Assume that you make 5 paper helicopters (part of 10 you make using randomization) and you measure times in air when dropped from 2 meters at level 1 (paper type 1) which are 2.2, 1.7, 0.7, 2.1, and 2.3. Which of the following is relevant to evaluating whether these values drive from a normal distribution. VSM, box and whisker plotting, or QFD? Apply that method and state conclusions.
Q4 Suppose that you make 5 paper helicopters and you measure times in air when dropped from 2 meters at level 2 (paper type 2) which are 1.2, 1.3, 1.4, 1.2, 1.1. How can you tell if there is any significant difference between the flight times of the helicopters in this question and in question 5? If we assume that randomization was applied during planning and the randomized design was implemented, would we prove that paper type has s significant effect on average flight time? Do calculations by hand. Assume equal, variance.