Understanding Sampling Distributions

What is a parameter in the context of a population?

• A measure of central tendency

• A variable that can change with each sample

• A hypothesis about future samples

• A truth or characteristic about the population

Why don't sample statistics always match the population parameter?

• Because of calculation errors

• Due to the randomness of sampling

• Sample statistics always match the population parameter

• Because the population parameter changes over time

Tags

CCSS.7.SP.A.1

CCSS.HSS.IC.A.1

What does a sampling distribution represent?

• The standard deviation of the population

• The mean of the population

• The variability of a statistic across all possible samples

• The distribution of the population

In the example with three balls you just saw, what is the population mean?

• 1.5

• 3

• 2.5

• 2

How are the balls selected in the example to estimate the population mean?

• Based on their color

• With replacement, randomly

• Without replacement

• Based on their size

Tags

CCSS.7.SP.A.2

What is the sample mean of picking a 1 and then a 2?

• 1.5

• 2

• 2.5

• 1

Tags

CCSS.6.SP.B.5C

How many possible sample means are there in the example with three balls?

• 6

• 9

• 5

• 3

Tags

CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.4

What is the probability of getting a sample mean of 2.5 when sampling two balls?

• 2/9

• 4/9

• 1/9

• 3/9

Tags

CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.4

Which of the following is a correct representation of a sampling distribution?

• A list of population parameters

• The variance of the population

• A graph showing the frequency of sample means

• A single sample mean calculation

What does it mean when a ball is picked 'with replacement' in the context of the example?

• The ball is not put back into the population after being selected

• The ball is put back, allowing it to be selected again

• The ball is selected based on a predetermined sequence

• The ball is replaced with another ball of a different number

Tags

CCSS.HSS.CP.A.5