Confidence Intervals
Math 550 at UNC, Summer 2010
The following files include information on continuous random variables and continuous distributions such as the uniform and normal distributions. Click on the "Preview" thumbnails to see a slideshow of the documents, or click the "PDF" button to download a handout.
Downloadable Handouts
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| The Logic in Constructing Confidence Intervals about a Population Mean |
Slideshow describes three types of estimators; also introduces confidence intervals and the effect of sample size. |
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| Confidence Interval Game |
The confidence interval game is designed to simulate the process of inferring the population mean with some degree of confidence from a sample mean. |
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| Old Faithful Confidence Interval |
Use known standard deviations to estimate confidence intervals based on sample data (including fictitious test scores from Lake Wobegon). |
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| Confidence Intervals |
Information boxes contain formula for computing and interpreting confidence intervals and margin-of-error. |
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| Confidence Intervals about a Population Mean in Practice |
Slideshow describing the (student) t-distribution, the role of degrees of freedom, and some examples. |
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| The Student t Distribution |
The goal of this activity is to use various methods, including a graphics calculator and a look-up table, to find values associated with the Student tdistribution. |
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| INVT (Inverse t) Program for TI-83 or TI-83 PLUS |
The INVT program accepts a value between 0 and 1, plus user-specified degrees of freedom (df), and returns a t score. INVT thus fills a gap that TI left when designing the firmware of the TI-83. |
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| Confidence Intervals about a Population Proportion |
Slideshow describing the process of constructing and interpreting confidence intervals for proportion parameters in a population. |
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| Confidence Intervals about a Population Standard Deviation |
Slideshow outlining the use of a Chi-squared distribution for constructing confidence intervals for a population variance or standard deviation. |
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