ch.16-18 - Stat 20 - Chapters 16-18 Review Exercises...

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Stat 20 - Chapters 16-18 Review Exercises Solutions Chapter 16 RE 1-8 1. Option (iii) is the best. The chance error is not likely to be 0 exactly, but should be small relative to the number of draws. 2. Now option (i) is it. 3. Both are wrong. Luck and the law of averages have nothing to do with it - the chances stay the same, every time 4a. 60 rolls. With more rolls, the percentage of aces will be closer to 16 2 3 %. You want the percentage of aces to be far from 16 2 3 %. Chance error in the percentages is working against you, choose the smaller number of rolls. 4b. 600 rolls. Now chance error is working for you, choose the larger number of rolls. 4c. 600 rolls. Like (b) 4d. 60 rolls. As you roll more and more, there get to be more and more possibilities, no particular one can be very likely. Take a more extreme case: with 6000 rolls, you can get 1000 aces, or 1001, or 1002, . .. There are lots of possibilities, each one individually has a small chance. 5. False. If the number of heads is 50, the percentage of heads is 50%. (It is not so likely that the number of heads will be 50 exactly, section 1.) 6. Possibility (i) is better. Reason: 10/15 = 20/30 = 2/3. Option (i) is like tossing a coin 15 times, and
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ch.16-18 - Stat 20 - Chapters 16-18 Review Exercises...

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