Central Limit Theorem

Central Limit Theorem

University

10 Qs

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Central Limit Theorem

Central Limit Theorem

Assessment

Quiz

Mathematics

University

Practice Problem

Hard

CCSS
HSS.ID.A.4, HSS.IC.A.1, HSS.MD.A.3

+4

Standards-aligned

Created by

Elo Cheng

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

These symbols represent the mean and standard deviation for which of the following distributions?

The Population

The Sample

The Sampling Distribution

The Parameter

Tags

CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.4

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

True or False:

The mean of the sample means is equal to the mean of the population.

True

False

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.4

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

True or False:

As the sample size n increases without limit, the shape of the distribution becomes less normal.

True

False

Tags

CCSS.HSS.ID.A.3

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

True or False:

Whatever is the distribution of the population if sample size is increased, the distribution will become approximately normal.

True

False

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.ID.A.4

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What happens to the shape of a sampling distribution of sample means as n increases?

It becomes narrower and bimodal.
It becomes narrower and more normal.
It becomes wider and skewed right. 
It becomes wider and more normal. 

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

The mean and standard deviation of a population are 400 and 40, respectively. Sample size is 25. 
What is the mean of the sampling distribution?

400
40
25
8

Tags

CCSS.HSS.MD.A.2

CCSS.HSS.MD.A.3

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

The mean and standard deviation of a population are 400 and 40, respectively. Sample size is 25. 
What is the standard error of the sampling distribution?

400
40
25
8

Tags

CCSS.HSS.ID.A.4

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