Lesson 1379 of 1524
The Chi-Square Distribution
For the χ 2 distribution, the population mean is μ = df , and the population standard deviation is σ = 2 ( d f )
Practice this chapterFor the χ 2 distribution, the population mean is μ = df , and the population standard deviation is σ = 2 ( d f ) The random variable is shown as χ 2 , but it may be any uppercase letter
The random variable for a chi-square distribution with k degrees of freedom is the sum of k independent, squared standard normal variables is The notation for the chi-square distribution is
population mean — μ = df , and the population standard deviation is σ = 2 ( d f ). random variable — shown as χ 2 , but it may be any uppercase letter. contingency table — a table that displays sample values for two different factors that may be dependent or contingent on each other; facilitates determining conditional probabilities.
Worked example
What does “population mean” mean in The Chi-Square Distribution?
- 1Use the wording this chapter gives for population mean.
- 2The book says: μ = df , and the population standard deviation is σ = 2 ( d f ).
- 3Do not use the meaning of random variable. That term means shown as χ 2 , but it may be any uppercase letter.
Result: μ = df , and the population standard deviation is σ = 2 ( d f )
Why. That is the meaning this chapter gives for population mean.
Do not swap population mean and random variable. population mean means μ = df , and the population standard deviation is σ = 2 ( d f ). random variable means shown as χ 2 , but it may be any uppercase letter.
Practice margin
This chapter
A fresh set from this chapter only. Choose 10 or 20. Multiple choice and fill-in, with no repeat inside the set.