Intro to Confidence Intervals - Confidence Interval for μ True or False

This video is a quick review of T/F statements about the confidence interval for a population mean μ. Statements: 1. A confidence interval that fails to capture the population mean will also fail to capture the sample mean. 2. A 99% confidence interval must capture 99% of the sample values. 3. For the same sample data, a 95% confidence interval will be narrower than a 99% confidence interval. 4. If the point estimate and upper limit for a confidence interval are 178.9 and 198.9 respectively, then the lower limit must be 20. 5. If a confidence interval for the population mean is constructed from a sample of size n = 30, that interval must contain the population mean. 6. Increasing the sample size will not change the width of the confidence interval. 7. A point estimate is a single population parameter that is used to a estimate a sample statistic. 8. If a particular 95% confidence interval captures the population mean, then for the same sample data, the population mean will also be captured at the 91% confidence level. 9. The width of the confidence interval depends on the size of the sample. 10. If a confidence interval does not contain the point estimate, then an error has been made in the calculation. 11. Increasing the confidence level will not change the width of the confidence interval. 12. For a confidence level of 99%, the left-tail area α/2 = 0.99.