Question

5. In a large class of introductory Statistics students, the professor has each person toss a fair coin 11 times and calculate the proportion of his or her tosses that were heads. The students then report their results, and the professor plots a histogram of these several proportions.

a) What shape would you expect this histogram to be? Why?

b) Where do you expect the histogram to be centered?

c) How much variability would you expect among these proportions?

d) Explain why a Normal model should not be used here.

Answer #1

In a large class of introductory Statistics students, the
professor has each person toss a fair coin 12 times and calculate
the proportion of his or her tosses that were heads. The students
then report their results, and the professor plots a histogram of
these several proportions. a) What shape would you expect this
histogram to be? Why? b) Where do you expect the histogram to be
centered? c) How much variability would you expect among these
proportions? d) Explain...

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a. What shape would you expect this histogram to
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c. How much variability would you expect among
these proportions?
d. Explain why a Normal model should not be used
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