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Our World Statistics Day conversations have been a great reminder of how much statistics can inform our lives. Do you have an example of how statistics has made a difference in your life? Share your story with the Community!
1. The green vertical line represents the sample average estimated from the data. "True" mean is initially set to this value.
3. The distribution of the test statistic (i.e., one-sample t test) under the 'True" mean has a non-central t-distribution. When you move the "True" mean close to or away from the hypothesized mean, the probablity density function changes. The following figure shows the non-central t-distribution with different values of non-central parameter μ, and ν degree of freedom Noncentral t-distribution - Wikipedia, the free encyclopedia
4. The red represents t-distribution.
5. The blue represents non-central t-distribution.