Confidence Intervals

Confidence intervals are a fundamental statistical concept used to estimate population parameters based on sample data. They provide a range of values within which the true parameter is likely to fall, along with a specified level of confidence. Essential in inferential statistics, confidence intervals offer insights into the precision and reliability of estimates derived from sample data, aiding decision-making in various fields such as finance, healthcare, and social sciences. By quantifying the uncertainty inherent in statistical estimates, confidence intervals play a crucial role in drawing reliable conclusions from empirical data, guiding researchers and practitioners alike in their analytical endeavors.

Questions
  • What is a 90% confidence interval for the population mean birth weight based on the data?
  • How do you find the margin of error for a poll, assuming that 95% confidence and pi= 0.4 for n = 450?
  • How do I rewrite the confidence interval (0.0268, 0.133) in the form of #hatp - E < p < hatp + E#?
  • What happens to the confidence interval if you increase the confidence level?
  • What does the confidence interval of a sample tell you?
  • How do confidence intervals change with sample size?
  • How do confidence intervals change with standard deviations?
  • How does confidence interval change with sample size?
  • What does a 95% versus a 99% confidence interval mean for a given estimate?
  • The Harris Poll asked a sample of 1009 adults which causes of death they thought would become more common in the future. Gun violence topped the list: 706 members of the sample thought deaths from guns would increase. ?
  • If I know the population mean but want to determine the standard deviation for a trail of several events; should I be dividing by the number of events or the number of events minus 1?
  • If there is inflation in a country, what happens to its currency?
  • A group of 62 randomly selected students have a mean score of 28.3 on a standardized placement test. The population SD for all students taking the test is #sigma = 3.4#. What is the 90 percent confidence interval for the mean score?
  • What are confidence intervals?
  • Five students were asked how many months had passed since their last visit to a dentist. They said 6, 16, 12, 22, 29. How do you construct a 95% confidence interval for the mean number of months elapsed since their last visit?
  • What is the difference between the confidence interval and margin of error?
  • What critical value would you use for a 95% confidence interval based on the t(21) distribution?
  • How do you construct a 90% confidence interval for the population mean, #mu#?
  • A random sample of 90 observations produced a mean x̄ = 25.9 and a standard deviation s = 2.7. How do you find a 95% confidence interval for the population mean μ?
  • If a data set of n=115 has a mean of 9.74 and a population standard deviation of 2.93, what is the 95% confidence interval?