Prob & Stats Chapter 8 STUDY GUIDE: Estimating a Parameter

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What is a confidence interval?

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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 as 'point estimate ± margin of error'.

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CCSS.HSS.IC.B.4

Front

What conditions must be met to calculate a confidence interval for a population proportion?

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The Random and Large Counts conditions must be met.

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CCSS.HSS.IC.B.4

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What is the formula for calculating a confidence interval for the population proportion p?

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CCSS.HSS.IC.B.4

Front

What does the Large Counts condition state?

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If the 95% Confidence Interval for a population mean is (114.56, 125.54), can we conclude that the true population mean µ is greater than 130?

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No, because 130 is outside the confidence interval.

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CCSS.HSS.IC.B.4

Front

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

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CCSS.HSS.IC.B.4

Front

What is the z-score for a 99% confidence level?

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The z-score for a 99% confidence level is approximately 2.576.

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CCSS.HSS.ID.A.4

Front

What is the sample size needed to meet the Large Counts condition?

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Front

How do you calculate the confidence interval for a population proportion?

Back

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CCSS.HSS.IC.B.4

Front

What is the formula for the standard error (SE) of the sample mean?

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