1) Mars Inc. claims that they produce M&Ms with the following distributions: Brown 30% Red 20% Yellow 20% Orange 10% Green 10% Blue 10% How many M&Ms must be sampled to construct the 98% confidence interval for the proportion of red M&Ms in that bag if we want a margin of error of .14? a) 34 b) 45 c) 35 d) 44 e) 46 f) None of the above Review Later 2) An experimenter flips a coin 100 times and gets 59 heads. Find the 98% confidence interval for the probability of flipping a head with this coin. a) [0.476, 0.704] b) [0.376, 0.654] c) [0.526, 0.531] d) [0.476, 0.504] e) [0.396, 0.704] f) None of the above Review Later

3) Suppose that prior to conducting a coin-flipping experiment, we suspect that the coin is fair. How many times would we have to flip the coin in order to obtain a 98% confidence interval of width of at most .15 for the probability of flipping a head? a) 187 b) 188 c) 241 d) 245 e) 240 f) None of the above