K m Has the Consumer Price Index (CPI) fluctuated around its mean according to a Normal model? Here are some displays. Is a Normal model appropriate for these data? Explain. 800 200 8 150 - 100 100- 200 0.0 75.0 150 0 2250 0 Nscores Shortly after the introduction of the Belgian euro coin, newspapers around the world published articles claiming the coin is biased. The stories were based on reports that someone had spun the coin 250 times and gotten 150 heads. Note: A fair coin means 50% heads and 50% tails. Use 0.50 for your p. You will be comparing what you expect against what you observed. a) Use the Normal model to approximate the Binomial to determine the probability of spinning a fair coin 250 times and getting at least 150 heads. You can use Statcrunch on this, but you will want to find the mean and standard deviation first. Show those calculations. b) Do you think this is evidence that spinning a Belgian euro is unfair? Would you be willing to use it at the beginning of a sports event? Explain. In the first quarter of 2017, a group of domestic equity mutual funds had a mean return of 6.8% with a standard deviation in of 1.5%. Based on the model N(0.068, 0.015) for quarterly returns, what are the cutoff values for the a) highest 10% of these funds? Note: although you will likely use StatCrunch for these, it is a good idea to explain or show what you think you need to enter / find to answer these questions. b) lowest 20%? For wrong answers, it helps me identify if the result you get is due to a small error c) middle 40%? or a major misconception