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 .12? a) 61 b) 46 c) 47 d) 60 e) 65 f) None of the above Review Later 2) An experimenter flips a coin 100 times and gets 56 heads. Find the 96.5% confidence interval for the probability of flipping a head with this coin. a) [0.355, 0.615] b) [0.375, 0.665] c) [0.455, 0.665] d) [0.505, 0.510] e) [0.455, 0.465] 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 90% confidence interval of width of at most .18 for the probability of flipping a head? a) 83 b) 84 c) 87 d) 50 e) 51 f) None of the above