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Select ALL the statements below that are true about a normal error probability function.
a. The distribution is Lorentzian in shape
b. There is a 68.3% probability that a given measurement will occur exactly 1 population
standard deviation from the mean.
c. Small errors are more likely than large errors
d. The distribution is Gaussian in shape.
e. 95% of all individual measurements occur within 1.96 population standard deviations of the
population mean.
f. The distribution is characterized by a sample standard distribution
g. We almost never know the true values of the mean and standard deviation of real data
h. Most measurements occur at the mean of the distribution.
Solution
b. There is a 68.3% probability that a given measurement will occur exactly 1
population standard deviation from the mean.

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Select ALL the statements below that are true about a normal erro.pdf

  • 1. Select ALL the statements below that are true about a normal error probability function. a. The distribution is Lorentzian in shape b. There is a 68.3% probability that a given measurement will occur exactly 1 population standard deviation from the mean. c. Small errors are more likely than large errors d. The distribution is Gaussian in shape. e. 95% of all individual measurements occur within 1.96 population standard deviations of the population mean. f. The distribution is characterized by a sample standard distribution g. We almost never know the true values of the mean and standard deviation of real data h. Most measurements occur at the mean of the distribution. Solution b. There is a 68.3% probability that a given measurement will occur exactly 1 population standard deviation from the mean.