Confidence Interval

Front

What is a confidence interval?

Back

A confidence interval is a range of values used to estimate the true value of a population parameter, with a specified level of confidence.

Front

What happens to the confidence interval when the sample size decreases?

Back

The confidence interval gets larger.

Front

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

Back

1.645

Front

True or False: A higher confidence level results in a wider confidence interval.

Back

True

Front

What does a 95% confidence level mean?

Back

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

Front

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

Back

CI = sample mean ± (critical value * standard error)

Front

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

Back

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

Front

True or False: The width of a confidence interval is affected by the variability of the data.

Back

True

Front

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

Back

As the confidence level increases, the margin of error also increases.

Front

What does it mean if a confidence interval does not contain the population parameter?

Back

It means that the interval estimate is not accurate for that particular sample.