MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Which of the following is the best statement of the Law of Large Numbers?
If the parent population (from which the data are drawn) is normally distributed,
then the sample mean, , will follow a normal distribution.
For bell-shaped data, approximately 68% of the data will be within one standard
deviation of the mean, about 95% of the data will be within two standard
deviations of the mean, and approximately 99.7% of the data will be within three
standard deviations of the mean.
If the sample size is large, the sample mean will be close to the population mean µ
If the sample size is large, the shape of the sampling distribution of the sample
mean will be approximately normal.
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Transcribed Image Text:Which of the following is the best statement of the Law of Large Numbers? If the parent population (from which the data are drawn) is normally distributed, then the sample mean, , will follow a normal distribution. For bell-shaped data, approximately 68% of the data will be within one standard deviation of the mean, about 95% of the data will be within two standard deviations of the mean, and approximately 99.7% of the data will be within three standard deviations of the mean. If the sample size is large, the sample mean will be close to the population mean µ If the sample size is large, the shape of the sampling distribution of the sample mean will be approximately normal.
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