Vicki is playing a game of Dungeons and Dragons with her friends. She notices that the four-sided dice tends to land on 1 more often than 2, 3, or 4. Curious, she and her friends each roll the four-sided dice 30 times and count the number of times it lands on one. Vicki and her friends record 7, 8, 9, 9, 7, and 8 outcomes of the number one when rolling the dice. Note for this question, you can skip assumptions, tests of assumptions, outlier analysis, and a figure. Include the hypotheses, conclusion, and analyses (with all your work shown).

a. Is there evidence to suggest that the dice is unfairly weighed to the number 1?

b. What is the average that each number would be rolled (the average outcome for all numbers 1 to 4)?