Unformatted text preview: Quizfl-Iomework, Chapter 5 Page 255, #5,7,9,11
Page 263, #1,2
Page 2?4, #8 Demonstrate the Central Limit Theorem with the following population: 0,1,2, 3, 4, 5,6, 7, 8, 9,10,ll,12,13,14,15,16,17,18,l9 l. 2. Graph the distribution with a histogram and a class interval of 1. What kind of
distribution is it? How “normal” is it? What is the mean ,u and the standard deviation 0' of this population. Draw a random sample of 5 numbers with replacement from this distribution.
What is the sample mean and standard deviation? Comment on how you drew the
random sample and how well the mean and standard deviation estimate the
population mean and standard deviation. Draw 19 more random samples with replacement as you did in question three. For each, ﬁnd the mean and standard deviation. Does the discussion relative to the mean and standard deviation above change? How?
Graph the distribution of the sample means (there should be 20 of them) with a
histogram and a class interval of 1. What kind of distribution does it resemble? Does it look like anything from question 1‘?
Find the mean of the 20 sample means. What is its value, and compare it with the value you got from question 2.
Find the standard deviation of the 20 sample means. Compare this with the standard deviation of the population.
Multiply the standard deviation of the 20 sample means by J5 . Compare this
number with the standard deviation of the population. ...
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- Spring '10