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28 Cards in this Set
- Front
- Back
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Formulas for the Central Limit Theorem:
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1. μx = μ
σ 2. σx = ------------ sqrt of n |
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The standard deviation of a sampling distribution can be found by...
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...dividing the standard deviation of the population by the square root of the sample size.
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The mean of the population and the mean of a sampling distribution are equal.
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μx = μ
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Standard Deviation Formula:
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∑(xi - μ)^2
S = √(s^2) = √ --------------- N |
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Another standard deviation formula:
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∑(xi - xbar)^2
s = √s^2 = √ ----------------------- n - 1 |
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The standard deviation of a sampling distribution, σ(xbar), equals the standard deviation of the population divided by the square root of the sample size.
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σ
σ(xbar) = ---------- √n |
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The sampling distribution will approximate a normal distribution, regardless of the shape of the original distribution.
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Larger sample sizes will produce beter approximations.
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If we take samples until all possible samples of a certain size have been selected...
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Then the distribution created from the means of each of these samples would be called a sampling distribution for sample means.
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A sampling distribution refers to groups...
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...not individuals.
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A sampling distribution has a standard deviation equal to
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σ
------ √n |
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Normal distribution is...
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...a continuous probability distribution for a given random variable, X, that is completely defined by its mean an standard deviation.
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Line of symmetry is equal to:
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x = μ
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An inflection point is...
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...a point on the curve where the curvature of the line changes.
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Larger standard deviation = more area in the tails of the distribution
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Smaller standard deviation = less area in the tails of the distribution, and more in the center.
Less deviation = closer figures to average. |
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Total area under the curve of a normal distribution is equal to...
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1.
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A normal curve...
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...is symmetric and bell-shaped.
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A normal curve is completely defined by...
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...its mean, μ, and standard deviation, σ.
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μ is
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mean (average)
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σ is
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standard deviation
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∑ is
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"the sum of" the numbers following directly after the ∑ symbol.
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The x-axis is a ________ for a normal curve.
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horizontal asymptote
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The standard normal curve is completely defined by...
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...its mean, μ = 0, and standard deviation, σ = 1.
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The total area under the standard normal curve equals...
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1.
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The x-axis is a _______ for the standard normal curve.
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horizontal asymptote
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How do you get a z-value that corresponds with a certain x-value?
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x - μ
z = ------- σ |
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The area to the left of a specific value, x, of the random variable is equal to...
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P(X < x)
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The area to the right of a specific value, x, of the random variable is equal to...
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P(X > x)
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P(X < x) = P(X ≤ x)
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P(X > x) = P(X ≥ x)
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