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Mystery 1 Mystery 2 Mystery 3

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The axiom that states “sampling distributions of means will tend

toward Normality when n is large.”

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What is the Central Limit Theorem?

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A single value that predicts the value of the parameter.

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What is a point estimate?

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A range of values that attempts to capture a parameter.

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What is a confidence interval?

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This is the lower end of the confidence interval?

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What is the lower confidence limit?

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Half of the confidence interval length (quantifies precision).

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What is the margin of error?

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This is a test for which the alternative hypothesis considers values on both sides of the null.

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What is the two-sided test?

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This is what a statistician says when the population standard

deviation for the variable comes from a source outside the data.

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What is “when σ is known”?

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The test statistic used to conduct a test of a mean when σ is

known.

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What is a z statistic?

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The probability distributions that resemble Normal distributions

but with broader tails.

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What are Student’s t distributions?

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Members of the t distribution family are defined by this

parameter.

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What are their degrees of freedom ?

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The test statistic used to test two means when the population

standard deviation is not known.

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What is a t statistic?

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This is the upper end of the confidence interval.

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What is the upper confidence limit?

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The upper confidence limit minus the lower confidence limit;

twice the margin of error.

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What is the “confidence interval length”?

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The term that mean “the probability of less or equal to a

given value.”

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What is the cumulative probability?

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A value for a t random variable that is greater than p × 100% of

the other t values.

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What is a t percentile?