Confidence Intervals

Front

What is a confidence interval?

Back

A confidence interval is a range of values, derived from a data set, that is likely to contain the value of an unknown population parameter, with a certain level of confidence.

Tags

CCSS.HSS.IC.B.4

Front

What does a 99% confidence level indicate?

Back

A 99% confidence level indicates that if we were to take 100 different samples and compute a confidence interval for each sample, approximately 99 of the intervals would contain the population mean.

Tags

CCSS.HSS.IC.B.4

Front

What is the z-value for a 95% confidence level?

Back

The z-value for a 95% confidence level is approximately 1.96.

Tags

CCSS.HSS.ID.A.4

Front

How do you calculate the margin of error in a confidence interval?

Back

The margin of error is calculated by multiplying the z-value by the standard error of the sample.

Tags

CCSS.HSS.IC.B.4

Front

What is the formula for a confidence interval for a population mean?

Back

The formula is: Confidence Interval = sample mean ± (z-value * standard error).

Tags

CCSS.HSS.IC.B.4

Front

What does the symbol 'n' represent in statistics?

Back

The symbol 'n' represents the sample size.

Tags

CCSS.6.SP.B.5A

Front

What is the difference between a population and a sample?

Back

A population includes all members of a specified group, while a sample is a subset of the population used to represent the group.

Tags

CCSS.HSS.IC.A.1

CCSS.7.SP.A.1

Front

What is the significance of the margin of error in a confidence interval?

Back

The margin of error indicates the range of uncertainty around the sample estimate, affecting the width of the confidence interval.

Tags

CCSS.HSS.IC.B.4

Front

What is a common confidence level used in research?

Back

Common confidence levels used in research are 90%, 95%, and 99%.

Tags

CCSS.HSS.IC.B.4

Front

What is the impact of increasing the sample size on the confidence interval?

Back

Increasing the sample size generally decreases the width of the confidence interval, leading to a more precise estimate of the population parameter.