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Use the following information for the next two problems.  A fair coin is one that has  = P(Head)...

  1. Use the following information for the next two problems.  A fair coin is one that has  = P(Head) = 0.50. Suppose that each student in a class tosses a fair coin 25 times and calculates , the percent of heads they observe in their sample.

    Suppose that one particular student gets 10 heads. That student would calculate  = 0.40. Identify the correct statement.

    a.

    0.50 is a statistic and 0.40 is a parameter

    b.

    Both 0.50 and 0.40 are parameters

    c.

    Both 0.50 and 0.40 are statistics

    d.

    0.50 is a parameter and 0.40 is a statistic

  2. The value of  will vary from student to student. Find the mean () and the standard deviation () among the different values of .

    a.

    = 0.40  and   = 0.0096

    b.

    = 0.50  and   = 0.01

    c.

    = 0.50  and   = 0.10

    d.

    = 0.40 and   = 0.098

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Answer #1

Answer - 1: 0.50 is a parameter and 0.40 is a statistic

Option D is correct.

Answer - 2: Mean = Population proportion = 0.40

Standard error = = 0.10

Option C is correct.

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