Confidence Interval Coverage Normal

A learning component illustrating coverage of confidence intervals for the mean of a normal distribution.

Options

• intro | (node|string): overrides default (interactive) intro text. Default: none.
• quartileNotation | boolean: controls whether to use alpha/2 as the subscript for the critical value or just critical. Default: true.
• sampleStats | boolean: controls whether one should be able to switch between using the sample standard deviation or the known population standard deviation when calculating the standard error. Default: true.

Examples

Live Editor

<LearnConfidenceCoverageNormal />

<LearnConfidenceCoverageNormal />

Result

Confidence Interval Coverage for Sample Mean

. Then . Our confidence interval is then .For our choice of sample size (n), , , and confidence level, we will simulate 20 different samples from our normal distribution and calculate the corresponding sample means and confidence intervals.

Change parameters

Sample size (n) :

Mean (mu):

Standard Deviation:

Confidence level:
0.010.99

Confidence Intervals

Of the 20 confidence intervals, 19 capture the true proportion (coverage: 0.95).