Prob & Stats Chapter 8 STUDY GUIDE: Estimating a Parameter

Front

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 as 'point estimate ± margin of error'.

Front

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

Back

The Random and Large Counts conditions must be met.

Front

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

Back

Front

What does the Large Counts condition state?

Back

Front

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?

Back

No, because 130 is outside the confidence interval.

Front

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

Back

Front

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

Back

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

Front

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

Back

Front

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

Back

Front

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

Back