Statistical Intervals for a Single Sample Chapter 8-3.1 Quiz

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Questions and Answers

Which method can be used to construct confidence intervals on the mean of a normal distribution?

  • Normal distribution method (correct)
  • t distribution method
  • F distribution method
  • Chi-square distribution method

What can confidence intervals be constructed on for a normal distribution?

  • Mean and variance (correct)
  • Mean and median
  • Median and mode
  • Variance and standard deviation

When using the t distribution method, what is required for constructing confidence intervals on the mean of a normal distribution?

  • Sample size and population proportion
  • Sample size and standard deviation (correct)
  • Population mean and sample size
  • Population proportion and standard deviation

What is a general method for constructing an approximate confidence interval on a parameter?

<p>Normal distribution method (D)</p> Signup and view all the answers

Which type of intervals are constructed for future observations?

<p>Prediction intervals (A)</p> Signup and view all the answers

When constructing confidence intervals on the standard deviation of a normal distribution, what distribution is used?

<p>Chi-square distribution (D)</p> Signup and view all the answers

What is an example of an interval estimate?

<p>Tolerance intervals (C)</p> Signup and view all the answers

Which type of interval estimate is used to predict the value of a future observation?

<p>Prediction intervals (C)</p> Signup and view all the answers

What do the lower- and upper-confidence limits represent in a confidence interval?

<p>Plausible values for the parameter (C)</p> Signup and view all the answers

Which type of interval estimate provides bounds that represent an interval of plausible values for a parameter?

<p>Confidence intervals (B)</p> Signup and view all the answers

If Z follows a standard normal distribution, what can be written in relation to Z?

<p>$Z \sim N(0,1)$ (A)</p> Signup and view all the answers

What is the appropriate interpretation of a confidence interval?

<p>The observed interval brackets the true value with some probability. (B)</p> Signup and view all the answers

Which type of interval estimate is considered a random interval?

<p>Confidence intervals (C)</p> Signup and view all the answers

What do prediction intervals help to predict?

<p>$\mu$ in a population (C)</p> Signup and view all the answers

What is the purpose of tolerance intervals?

<p>To establish bounds for a specified proportion of a population distribution (B)</p> Signup and view all the answers

What type of interval estimate is used to establish bounds for a specified proportion of a population distribution?

<p>Tolerance intervals (D)</p> Signup and view all the answers

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