

Sampling Distribution Lesson
Presentation
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Mathematics
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University
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Practice Problem
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Medium
TAY KIM GAIK TAY KIM GAIK
Used 1+ times
FREE Resource
49 Slides • 9 Questions
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Multiple Choice
What is a sampling distribution?
The distribution of a population parameter.
The probability distribution of a sample statistic.
The distribution of individual data points in a sample.
The distribution of the population mean.
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Multiple Choice
In the example of the fish tank, why is a sample of twenty fish used instead of measuring all the fish?
To save time and resources.
Because the population mean is unknown.
To ensure accuracy.
Because the sample mean is always equal to the population mean.
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Multiple Choice
What shape does the probability histogram of the sampling distribution of sample means approximate?
Uniform distribution
Skewed distribution
Normal distribution
Bimodal distribution
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Multiple Choice
According to the Central Limit Theorem, what happens to the sampling distribution of the sample means as the sample size increases?
It becomes more skewed.
It approximates a normal distribution.
It becomes uniform.
It remains unchanged.
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Multiple Choice
In the context of the Central Limit Theorem, if the population is normally distributed, what can be said about the sampling distribution of the sample means?
It is normally distributed for any sample size.
It is skewed for small sample sizes.
It is uniform for large sample sizes.
It is bimodal for any sample size.
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Multiple Choice
What is the mean of the sampling distribution of the sample means?
Equal to the sample mean.
Equal to the population mean.
Equal to the sample standard deviation.
Equal to the population standard deviation.
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Multiple Choice
What is the standard error of the mean?
The population standard deviation.
The sample mean divided by the sample size.
The population standard deviation divided by the square root of the sample size.
The sample standard deviation divided by the square root of the sample size.
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Multiple Choice
What is the effect of increasing the sample size on the standard error of the mean?
It increases.
It decreases.
It remains the same.
It becomes zero.
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Multiple Choice
Which of the following distributions is used when the sample size is less than 30 and the population standard deviation is unknown?
Normal distribution
Chi-square distribution
t-distribution
F-distribution
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