dmlab12
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dmlab12

Course Number: PSY 138, 2009

College/University: Illinois State

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Name ____________________ Lab 12 Worksheet 1) If you toss the coin just once, what are the possible values for the proportion of heads? 2) If you toss the coin 400 times with a probability of 0.5, which is more likely to happen: getting exactly 200 heads, or getting within a few percent of 200 heads? Try it to test your answer (note: you can have it do a maximum of 40 tosses at a time, after it finishes tossing...

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____________________ Name Lab 12 Worksheet 1) If you toss the coin just once, what are the possible values for the proportion of heads? 2) If you toss the coin 400 times with a probability of 0.5, which is more likely to happen: getting exactly 200 heads, or getting within a few percent of 200 heads? Try it to test your answer (note: you can have it do a maximum of 40 tosses at a time, after it finishes tossing the coin 40 times click toss again. 3) What will the proportion of heads plot look like as you accumulate more and more tosses with a probability of 0.7 for heads? Go ahead and try it for 100 tosses (remember to set the prob = 0.7). 4) Set the probability of heads at 0.3 and have the applet repeatedly toss the coin until you accumulate 400 hundred tosses. a) How does the behavior of the proportion of heads differ at the beginning of the plot compared to with the end of the plot? b) How does the behavior of the plot of the proportion of heads relate to this line? c) How does the plot of the proportion of heads compare to the plot when the probability was 0.3? In what ways is it similar? In what ways does it differ? 5) What is the probability of selecting a red card from a standard deck of playing cards? 6) What is the probability of selecting a club from a standard deck of playing cards? 7) What is the probability of selecting a club or a heart from a standard deck of playing cards? 8) In each of the following situations, describe the sample space (i.e., possible outcomes) for the random phenomenon. See the lab for instructions. a) A seed is in planted the ground. It either germinates or fails to grow. b) A patient with a usually fatal form of cancer is given a new treatment. The response variable is the length of time that the patient lives after treatment. c) A student enrolls in a statistics course and at the end of the semester receives a letter grade. d) A basketball player shoots four free throws. You record the sequence of hits and misses. e) A basketball player shoots four free throws. You record the number of baskets she makes. 9) Consider the example from (8d) above. A basketball player shoots four free throws. You record the sequence of hits and misses. See the lab for hints. a) what is the probability of hitting all four free throws? b) what is the probability of hitting at least 3 free throws? 10) The scale for the SAT is set so that the distribution of scores is approximately normal with mean = 500 and standard deviation = 100. You think that you might need ...

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