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12 Cards in this Set
- Front
- Back
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What is the probability of a particular value of a continuous distribution? Why? |
0 because the probability of an event is its area under the curve. |
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Define: Z transformation formula. |
The formula of standardization of a continuous variable, X, to Z. Z = (X- u)/s, where s is sigma |
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In a normal distribution given u = 1, what is the median? |
1 |
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Define: sampling distribution. What is the equivalent of its mean? |
The distribution of every possible sample size of all collected samples, given a sample size. The population mean. |
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Define: standard error of the mean. How is it calculated? |
A measurement of standard deviation: how each sample mean varies from sample to sample. Sigma (x) = Sigma / Sqrt(n) |
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Define: Central Limit Theorem |
In a non-normally distributed population, the sampling distribution approximately becomes a normal distribution as the sample size (n) gets large enough. |
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What are the properties of a sample distribution taken from a normal population? Given, Mean = u and Standard Deviation = sigma. |
Regardless of the sample size, the sampling distribution will also follow a normal distribution. Its mean is also u and its standard deviation is sigma/sqrt(n). |
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Central Limit Theorem, what is a large enough sample size? |
30. |
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What are the properties of a normal distribution? |
1. It follows a bell curve. 2. It is not skewed, or its mean and median are equal. 3. Its interquartile range is equal to 1.33 s.d. which means that 50% (Q3 - Q1) lies within 2/3 above and below the mean. 4. Theoretically, it has an infinite range. |
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What is the mean of a discrete random variable? |
The Expected Value: E(X) |
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Why is only table required to calculate the probabilities of a normally distributed data set. |
Because data sets can be standardized by setting the mean as 0 and its standard deviation as 1.
In the process of standardization, many normal data sets are turned into a normal one. |
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What is the Z variable of a normal distribution? |
Its standard deviation. As a normal distribution falls within +/- 6 standard deviations from the mean, the Z units also range from +/- 6 units. |
