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Statistical Intervals for a Single Sample Chapter 8-3.1 Quiz

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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?

Normal distribution method Signup and view all the answers

Which type of intervals are constructed for future observations?

Prediction intervals Signup and view all the answers

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

Chi-square distribution Signup and view all the answers

What is an example of an interval estimate?

Tolerance intervals Signup and view all the answers

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

Prediction intervals Signup and view all the answers

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

Plausible values for the parameter Signup and view all the answers

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

Confidence intervals Signup and view all the answers

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

$Z \sim N(0,1)$ Signup and view all the answers

What is the appropriate interpretation of a confidence interval?

The observed interval brackets the true value with some probability. Signup and view all the answers

Which type of interval estimate is considered a random interval?

Confidence intervals Signup and view all the answers

What do prediction intervals help to predict?

$\mu$ in a population Signup and view all the answers

What is the purpose of tolerance intervals?

To establish bounds for a specified proportion of a population distribution Signup and view all the answers

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