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2) Here is the graph from a simulation of 10,000 samples (called runs in the StatCrunch applet.) Flipping 16 coins with probability of heads =
2) Here is the graph from a simulation of 10,000 samples (called "runs" in the StatCrunch applet.) Flipping 16 coins with probability of heads = 0.5 1 run 5 runs 1000 runs Reset | Analyze Info Runs Event Count Total Proportion 9987 Proportion of heads > = 0.875 20 10000 0.002 9988 9989 Outcomes Convergence 9990 Frequency 9991 2000 9992 1500 9993 9994 1000 9995 500 9996 9997 0 0.2 6.4 0.6 0.8 9998 Proportion of heads 9999 10000UNIT /. LINKING PROBABILI c) For these 10,000 samples, apply the theory you learned to estimate the mean and the standard deviation of the distribution of sample proportions. Explain or show how you got your estimates. d) Is a normal model a good fit for this distribution? Why or why not
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