Sampling Distributions: Basic Concepts

The mean of the sampling distribution is the same as the mean of the population.

• True

• False

The standard deviation of a sampling distribution is the same as the standard deviation as the population.

• True

• False

The shape of a sampling distribution is ____________ the shape of the distribution from which the sample was drawn.

• almost never the same shape as

• almost always the same shape as

These symbols represent the mean and standard deviation for the _______.

• population distribution

• sample

• sampling distribution

These symbols represent the mean and standard deviation for the _________.

• population distribution

• sample

• sampling distribution

These symbols represent the mean and standard deviation for the _______.

• population distribution

• sample

• sampling distribution

A distribution showing the sample means of all samples of size n of a population is called a ________ distribution.

• normal

• binomial

• sampling

• uniform

At a particular college, 78% of all students are receiving some kind of financial aid. The school newspaper selects a random sample of 100 students and 72% of the respondents say they are receiving some sort of financial aid. Which of the following is true?

•  78% is a population and 72% is a sample.

• 72% is a population and 78% is a sample

• 78% is a parameter and 72% is a statistic

• 72% is a parameter and 78% is a statistic

What is the standard deviation of the distribution shown in this image?

• 1010

• 20

• 60

• √20

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.