A statistics instructor has noticed, while blowing up balloons for his granddaughters birthday party, that balloons of different colors seem to vary in the amount of time to blow up. He decides this is worthy of research, and with a package of 100 balloons (20 of each color: red, pink, yellow, blue, and orange) and the help of a team of poor starving teaching assistants (TAs) working for pizza, he has each of the five TAs pull a random color out of a hat. Whichever color they draw is the color of balloon they will be inflating in the experimentblowing up each balloon to its target diameter of 7 inches, with the instructor using a stopwatch to record each time to the nearest tenth. The TAs proceed in orderred, pink, yellow, blue, orangegiving them time to recover between balloons. (a) (5 points) Identify the following elements of their experiment: i) Research question: ii) Factor(s): iii) Treatment(s): (b) (7 points) Is this a well-designed experiment? If not, explain what is wrong and how it could be improved. (c) (8 points) Some suggestions for investigating the instructors research question: Suggestion 1: Average the inflation times across each color, comparing the averages for each color to determine any variations in the inflation times. Suggestion 2: Randomly assign a new color balloon to each TA on each round, at the end comparing the averages for each color to determine any variations in the inflation times. Suggestion 3: Randomly assign a color to the 5 TAs, having them blow up five balloons of that coloreach successive five balloons, randomly assign each TA to a color he/she hasnt inflated yet. At the end, compare the averages for each color, using the TAs as a blocking variable. Comment on the three suggestions. Explain which solution is best approach to answer the instructor's research question and also explain what is wrong with the other two.