Confidence Intervals

Front

What is a confidence interval?

Back

A confidence interval is a range of values, derived from a sample, that is likely to contain the population parameter with a specified level of confidence.

Tags

CCSS.HSS.IC.B.4

Front

What does the critical value represent in a confidence interval?

Back

The critical value is a factor used to calculate the margin of error, which determines the width of the confidence interval.

Tags

CCSS.HSS.IC.B.4

Front

How does sample size affect the width of a confidence interval?

Back

Increasing the sample size generally results in a narrower confidence interval, as it reduces the standard error.

Front

What is the margin of error in the context of confidence intervals?

Back

The margin of error is the amount added and subtracted from the sample statistic to create the confidence interval.

Tags

CCSS.HSS.IC.B.4

Front

What is a point estimate?

Back

A point estimate is a single value estimate of a population parameter, often represented by the sample mean.

Front

Which factors affect the width of a confidence interval?

Back

The width of a confidence interval is affected by the standard deviation, sample size, and critical value.

Tags

CCSS.HSS.IC.B.4

Front

What happens to the confidence interval when the confidence level is decreased?

Back

Decreasing the confidence level results in a narrower confidence interval.

Front

What is the relationship between confidence level and margin of error?

Back

As the confidence level increases, the margin of error also increases, leading to a wider confidence interval.

Tags

CCSS.HSS.IC.B.4

Front

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

Back

The formula is: CI = sample mean ± (critical value * standard error).

Tags

CCSS.HSS.IC.B.4

Front

What is standard error?

Back

Standard error is the standard deviation of the sampling distribution of a statistic, commonly the sample mean.