Central Limit Theorem Quiz

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

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

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

• The Population
• The Sample
• The Sampling Distribution

What is the standard deviation of the distribution?

• 1010
• 20
• 60
• √20

• 50

• 25

• 20

• 5

• 5

• 0.91

• 0.71

• 0

The population mean age of the residents in a certain city is 56.12 years with a standard deviation of 15.3 years. A group of 2000 residents from a certain barangay in the city is taken as a sample. If the population of the city 150 000, find the mean of the sampling distribution of the sample mean of the residents’ ages.

• 150 000

• 2 000

• 15.3

• 56.12

The population mean age of the residents in a certain city is 56.12 years with a standard deviation of 15.3 years. A group of 2000 residents from a certain barangay in the city is taken as a sample. If the population of the city 150 000, find the standard deviation of the sampling distribution of the sample mean of the residents’ ages.

• 150 000

• 0.34

• 0.5

• 56.12

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

• The skew gets bigger

• The skew is reversed

• It becomes narrower and more normal.

• The shape is the same, but wider

It is known that the mean of the population of unicorns equals 1000, and the standard deviation equals 25. In a group of 20 randomly selected unicorns, what is the standard deviation of the sampling distribution?

• 25

• 1.25

• 5.59

• 40

• 4