Drawing Inferences about a Population

Front

What is a population in statistics?

Back

A population is the entire group of individuals or items that we want to study or draw conclusions about.

Front

What is a sample in statistics?

Back

A sample is a subset of the population selected for analysis, used to make inferences about the population.

Front

What does it mean to draw an inference?

Back

To draw an inference means to make a conclusion or educated guess based on evidence or reasoning.

Front

How do you calculate the expected number of individuals in a population based on a sample?

Back

Multiply the proportion of the sample by the total population size.

Front

If 4 out of 10 students like a certain activity, what is the proportion of students who like it?

Back

The proportion is 0.4 or 40%.

Front

How do you convert a proportion to a percentage?

Back

Multiply the proportion by 100.

Front

What is the formula to find the expected number of students in a population?

Back

Expected number = (Sample proportion) x (Total population size).

Front

If a machine can complete a task in a certain time, how do you find the time for a different number of tasks?

Back

Use the formula: Time = (Number of tasks) / (Tasks per minute).

Front

What is a random sample?

Back

A random sample is a subset of individuals chosen from a larger set, where each individual has an equal chance of being selected.

Front

Why is it important to use a random sample?

Back

A random sample helps ensure that the results are representative of the population, reducing bias.