Skillbuilder Applet Exercise simulates taking samples of size 4 from an approximately normal population, where 65.15 and

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Skillbuilder Applet Exercise simulates taking samples of size 4 from an approximately normal population, where

65.15 and 2.754.

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a. Click “1” for “# Samples.” Note the four data values and their mean. Change “slow” to “batch” and take at least 1000 samples using the “500” for “# Samples.”

b. What is the mean for the 1001 sample means?
How close is it to the population mean, ?

c. Compare the sample standard deviation to the population standard deviation, . What is happening to the sample standard deviation?
Compare it with , which is 2.754/4.

d. Does the histogram of sample means have an approximately normal shape?

e. Relate your findings to the SDSM.

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