Central Limit Theorem
Quiz
•
Mathematics
•
11th Grade
•
Practice Problem
•
Medium
+6
Standards-aligned
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12 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the relationship between the mean of the population and the mean of the sampling distribution of the sample means?
the mean of the population is greater than the mean of the sampling distribution of the sample means.
the mean of the population is lesser than the mean of the sampling distribution of the sample means.
the mean of the population is equal to the mean of the sampling distribution of the sample means.
the mean of the population is not equal to the mean of the sampling distribution of the sample means.
Tags
CCSS.6.SP.A.2
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the equivalent value of the standard deviation of the sampling distribution of the sample means in comparison to the standard deviation in an infinite population?
Tags
CCSS.HSS.IC.A.1
CCSS.HSS.IC.B.4
CCSS.HSS.ID.A.4
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the equivalent value of the standard deviation of the sampling distribution of the sample means in comparison to the standard deviation in a finite population?
Tags
CCSS.HSS.IC.B.4
CCSS.HSS.ID.A.4
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the formula shown above, what does N stands for?
sample size
population size
number of respondents
number 30
Tags
CCSS.HSS.IC.A.1
5.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
What have you observed with the histogram of the sampling distribution of the sample mean?
The histogram is skewed to the left, regardless of the shape of the population.
It will tend to have an abnormal distribution, regardless of the shape of the population.
The bar in the histogram will be equally distributed
It will tend to have a normal distribution, regardless of the shape of the population.
Tags
CCSS.HSS.ID.A.1
CCSS.HSS.ID.A.2
CCSS.HSS.ID.A.3
CCSS.HSS.ID.A.4
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
According to the Central Limit Theorem, For a sample to be large enough, the sample size should be ______.
half of the population
75% of the population size
at least 30
at most 100
Tags
CCSS.HSS.ID.A.4
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following symbol describes the population mean?
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