Confidence Intervals for One Mean:  Sigma Not Known (t Method) @jbstatistics
Confidence Intervals for One Mean:  Sigma Not Known (t Method)  @jbstatistics
Uploaded May 2013 | Updated September 2026, 2 hours ago
Introduction to confidence intervals for mu based on the t distribution. These methods are appropriate when we are sampling from a normally distributed population and the population standard deviation (sigma) is not known.

The cereal data used in this video is real data from a sample of 7 cereal boxes I purchased one day. The boxes had a stated weight of 750 grams. (I've changed the story slightly in the video, but it is real data.)

For those that use R, below is the R code to find the values given in the video.

With 6 degrees of freedom, the t value with an area of 0.025 to the right (and thus an area of 0.975 to the left), can be found with:
qt(.975,6)
[1] 2.446912
Confidence Intervals for One Mean:  Sigma Not Known (t Method)Introduction to the Bernoulli DistributionAn Introduction to Conditional ProbabilityProof that if two events are independent, so are their complements.Proof that the Binomial Distribution tends to the Poisson DistributionSimple Linear Regression: The Least Squares Regression LineHypothesis testing: Rejection regions and p-values |Full lecture (Intro Stats)The Correlation Coefficient and Coefficient of Determination (Old, fast version)Finding Areas Using the Standard Normal Table (for tables that give the area between 0 and z)Deriving a Confidence Interval for the Ratio of Two VariancesIntroduction to the Binomial Distribution (fast version)The Relationship Between the Binomial and Poisson Distributions
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Confidence Intervals for One Mean: Sigma Not Known (t Method)

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