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What is a confidence interval?

Back

A confidence interval is a range of values, derived from sample statistics, that is likely to contain the value of an unknown population parameter. It is expressed with a certain level of confidence, such as 90% or 95%.

Tags

CCSS.HSS.IC.B.4

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How do you calculate the margin of error for a sample mean?

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Margin of error = Critical value * (Standard deviation / √n), where n is the sample size.

Tags

CCSS.HSS.IC.B.4

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What does a 99% confidence interval indicate?

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A 99% confidence interval indicates that if we were to take many samples and build a confidence interval from each sample, approximately 99% of those intervals would contain the true population parameter.

Tags

CCSS.HSS.IC.B.4

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What is the critical value for a 90% confidence interval?

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The critical value for a 90% confidence interval is approximately 1.645.

Tags

CCSS.HSS.ID.A.4

Front

What is the formula for calculating the standard deviation of the sampling distribution of sample means?

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Standard deviation of the sampling distribution = σ/√n, where σ is the population standard deviation and n is the sample size.

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What is the purpose of using a confidence interval in statistics?

Back

The purpose of using a confidence interval is to estimate the range within which a population parameter lies, based on sample data.

Tags

CCSS.HSS.IC.B.4

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What does the term 'p' represent in statistics?

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In statistics, 'p' typically represents the proportion of a certain characteristic in a population.

Tags

CCSS.6.SP.B.5B

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How do you interpret a confidence interval of (0.652, 0.868)?

Back

This interval suggests that we are confident that the true proportion of students who attended the homecoming game lies between 65.2% and 86.8%.

Tags

CCSS.HSS.IC.B.4

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What is the significance of the sample size in determining the width of a confidence interval?

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A larger sample size results in a narrower confidence interval, indicating a more precise estimate of the population parameter.

Tags

CCSS.HSS.IC.B.4

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