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Chapter 5: Q R5.1. (page 334)
Rainy days The TV weatherman says, “There’s a 30% chance of rain tomorrow.” Explain what this statement means.
It will rain tomorrow.
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Color-blind men Aboutof men in the United States have some form of red-green color blindness. Suppose we randomly select one U.S. adult male at a time until we find one who is red-green color-blind. How many men would we expect to choose, on average? Design and carry out a simulation to answer this question. Follow the four-step process.
Recycling Do most teens recycle? To find out, an AP Statistics class asked an SRS of 100 students at their school whether they regularly recycle. How many students in the sample would need to say “Yes” to provide convincing evidence that more than half of the students at the school recycle? The Fathom dot plot below shows the results of taking 200 SRSs of 100 students from a population in which the true proportion who recycle is 0.50.
(a) Suppose 55 students in the class’s sample say “Yes.” Explain why this result does not give convincing evidence that more than half of the school’s students recycle.
(b) Suppose 63 students in the class’s sample say “Yes.” Explain why this result gives strong evidence that a majority of the school’s students recycle.
You read in a book about bridge that the probability that each of the four players is dealt exactly one ace is about This means that (a) in every bridge deals, each player has one ace exactly times.
(b) in one million bridge deals, the number of deals on which each player has one ace will be exactly
(c) in a very large number of bridge deals, the percent of deals on which each player has one ace will be very close to
(d) in a very large number of bridge deals, the average number of aces in a hand will be very close to
(e) None of these
Ten percent of U.S. households contain or more people. You want to simulate choosing a household at random and recording whether or not it contains or
more people. Which of these are correct assignments of digits for this simulation? (a) Odd = Yes (or more people); Even = No (not or more people)
(b) = Yes; = No
(c) = Yes; = No
(d) All three are correct.
(e) Choices (b) and (c) are correct, but (a) is not.
Tossing coins Refer to Exercise 40. Define event : get more heads than tails. Find .
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