Interpreting Confidence intervals

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What is a confidence interval?

Back

A confidence interval is a range of values used to estimate the true value of a population parameter, indicating the degree of uncertainty around the estimate.

Tags

CCSS.HSS.IC.B.4

Front

What does the margin of error represent in a confidence interval?

Back

The margin of error indicates the range within which the true population parameter is expected to fall, based on the sample data.

Tags

CCSS.HSS.IC.B.4

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

Back

Margin of error = (Upper limit - Lower limit) / 2.

Tags

CCSS.HSS.IC.B.4

Front

Given the interval (6.8, 12.9), what is the margin of error?

Back

3.05.

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 the midpoint of a confidence interval.

Tags

CCSS.6.SP.A.3

Front

Given the confidence interval (0.2, 0.8), what is the point estimate?

Back

0.5.

Tags

CCSS.HSS.IC.B.4

Front

What is the formula for calculating a point estimate from a confidence interval?

Back

Point estimate = (Lower limit + Upper limit) / 2.

Tags

CCSS.HSS.IC.B.4

Front

What is the interpretation of a confidence level (e.g., 95%)?

Back

A 95% confidence level means that if we were to take many samples and build a confidence interval from each, approximately 95% of those intervals would contain the true population parameter.

Tags

CCSS.HSS.IC.B.4

Front

What is the point estimator for the interval (-5, 13)?

Back

9.

Tags

CCSS.HSS.IC.B.4

Front

What is the format for interpreting a confidence interval?

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We are C% confident that the interval from ___ to ___ captures the [parameter in context].