In Analyzing the Sampling Distribution of a Proportion, Doubling the Sample

question 113

True/False

In analyzing the sampling distribution of a proportion, doubling the sample size will cut the standard deviation of the sampling distribution in half.

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Definitions:

Tchebysheff's Theorem

A statistical theorem stating that for any distribution, a minimum proportion of observations lies within any given number of standard deviations from the mean.

Standard Deviations

A measure of the dispersion or variation in a distribution, indicating how spread out the values are from the mean.

Frequency Table

A table that displays the frequencies of different data categories, showing how often each category occurs in the dataset.

Mound-Shaped Distribution

Another term for a normal distribution, characterized by its bell-shaped curve that is symmetrical around the mean.