16 Questions
Which method can be used to construct confidence intervals on the mean of a normal distribution?
Normal distribution method
What can confidence intervals be constructed on for a normal distribution?
Mean and variance
When using the t distribution method, what is required for constructing confidence intervals on the mean of a normal distribution?
Sample size and standard deviation
What is a general method for constructing an approximate confidence interval on a parameter?
Normal distribution method
Which type of intervals are constructed for future observations?
Prediction intervals
When constructing confidence intervals on the standard deviation of a normal distribution, what distribution is used?
Chi-square distribution
What is an example of an interval estimate?
Tolerance intervals
Which type of interval estimate is used to predict the value of a future observation?
Prediction intervals
What do the lower- and upper-confidence limits represent in a confidence interval?
Plausible values for the parameter
Which type of interval estimate provides bounds that represent an interval of plausible values for a parameter?
Confidence intervals
If Z follows a standard normal distribution, what can be written in relation to Z?
$Z \sim N(0,1)$
What is the appropriate interpretation of a confidence interval?
The observed interval brackets the true value with some probability.
Which type of interval estimate is considered a random interval?
Confidence intervals
What do prediction intervals help to predict?
$\mu$ in a population
What is the purpose of tolerance intervals?
To establish bounds for a specified proportion of a population distribution
What type of interval estimate is used to establish bounds for a specified proportion of a population distribution?
Tolerance intervals
Test your knowledge on statistical intervals for a single sample with this quiz based on Chapter 8-3.1 of the course material. Explore confidence intervals, t distributions, and guidelines for constructing intervals.
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