Front

What happens to the margin of error when the sample size decreases?

Back

The margin of error increases.

Front

What is the sample mean if a 95% confidence interval is calculated as 45 ± 2?

Back

45

Front

Create a confidence interval for a true mean if the mean SAT score is 534 with a margin of error of 20.

Back

(514, 554)

Front

What is the margin of error for a confidence interval of (75, 85)?

Back

5

Front

Why is a sample of 1000 people better than a sample of 100 people?

Back

It reduces the margin of error.

Front

Define margin of error in the context of confidence intervals.

Back

The margin of error is the range of values above and below the sample statistic in a confidence interval.

Front

What does a 95% confidence interval indicate?

Back

It indicates that if we were to take many samples and build intervals, 95% of those intervals would contain the true population parameter.

Front

How does increasing the sample size affect the confidence interval?

Back

Increasing the sample size decreases the margin of error, leading to a narrower confidence interval.

Front

What is the formula for calculating the margin of error?

Back

Margin of Error = Critical Value * Standard Error.

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.