15 10 1 1.33 1.67 2 2.33 2.67 3 3.33 3.67 4. 4.33 4.67 5 5.33 5.67 6 Explain how the dice example illustrates the Central Limit Theorem, cited on page 401 of the text: The Central Limit Theorem Regardless of the shape of the underlying population, the sampling distribution of x becomes approximately normal as the sample size, n, increases. 5.

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9. If we were to repeat the process in # 1-6 for n=3 dice, there would be 216
possible outcomes (why?); we would find the mean of the X distribution equal
to 3.5 and the standard deviation equal to 1.71/ /3. The graph of the
distribution is shown below.
Histogram of means, n=3 dice
30
25
20
15
10
1 1.33 1.67 2 2.33 2.67
3 3.33 3.67 4
4.33 4.67 5 5.33 5.67 6
Explain how the dice example illustrates the Central Limit Theorem, cited on
page 401 of the text:
The Central Limit Theorem
Regardless of the shape of the underlying population, the sampling distribution of
x becomes approximately normal as the sample size, n, increases.
Transcribed Image Text:9. If we were to repeat the process in # 1-6 for n=3 dice, there would be 216 possible outcomes (why?); we would find the mean of the X distribution equal to 3.5 and the standard deviation equal to 1.71/ /3. The graph of the distribution is shown below. Histogram of means, n=3 dice 30 25 20 15 10 1 1.33 1.67 2 2.33 2.67 3 3.33 3.67 4 4.33 4.67 5 5.33 5.67 6 Explain how the dice example illustrates the Central Limit Theorem, cited on page 401 of the text: The Central Limit Theorem Regardless of the shape of the underlying population, the sampling distribution of x becomes approximately normal as the sample size, n, increases.
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