Sampling Distributions and CLT

Sampling Distributions and CLT

Assessment

Flashcard

Mathematics

11th - 12th Grade

Practice Problem

Hard

CCSS
HSS.ID.A.4, 6.SP.A.2, 7.SP.A.1

+1

Standards-aligned

Created by

Wayground Content

Used 1+ times

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a sampling distribution?

Back

A sampling distribution is the probability distribution of a statistic (like the mean or proportion) obtained from a large number of samples drawn from a specific population.

2.

FLASHCARD QUESTION

Front

What is the Central Limit Theorem (CLT)?

Back

The Central Limit Theorem states that the sampling distribution of the sample mean will be normally distributed, regardless of the shape of the population distribution, as long as the sample size is sufficiently large (usually n ≥ 30).

3.

FLASHCARD QUESTION

Front

What is the mean of the sampling distribution for sample means?

Back

The mean of the sampling distribution for sample means is equal to the mean of the population from which the samples are drawn.

Tags

CCSS.6.SP.A.2

4.

FLASHCARD QUESTION

Front

How do you calculate the standard deviation of a sampling distribution (standard error)?

Back

The standard deviation of a sampling distribution (standard error) is calculated as the population standard deviation divided by the square root of the sample size (σ/√n).

5.

FLASHCARD QUESTION

Front

What is a z-score?

Back

A z-score indicates how many standard deviations an element is from the mean. It is calculated as (X - μ) / σ, where X is the value, μ is the mean, and σ is the standard deviation.

6.

FLASHCARD QUESTION

Front

What does a z-score of 1.14 indicate?

Back

A z-score of 1.14 indicates that the value is 1.14 standard deviations above the mean.

7.

FLASHCARD QUESTION

Front

What is the formula for calculating the z-score for sample means?

Back

The formula for calculating the z-score for sample means is z = (X̄ - μ) / (σ/√n), where X̄ is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size.

Tags

CCSS.HSS.ID.A.4

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