Lesson 835 of 1524
Confidence Intervals
Information that is known about the distribution (for example, known standard deviation),
Practice this chapterInformation that is known about the distribution (for example, known standard deviation), The pdf is symmetrical about its mean of zero
It approaches the standard normal distribution as n get larger There is a "family" of t-distributions: each representative of the family is completely defined by the number of degrees of freedom, which depends upon the application for which the t is being used
Normal Distribution — a continuous random variable (RV) with pdf f ( x ) = 1 σ 2 π e - ( x - μ ) 2 / 2 σ 2 f ( x ) = 1 σ 2 π e - ( x - μ ) 2 / 2 σ 2 , where μ is the mean of the distribution and σ is…. Standard Deviation — a number that is equal to the square root of the variance and measures how far data values are from their mean; notation: s for sample standard deviation and σ for population…. family — completely defined by the number of degrees of freedom, which depends upon the application for which the t is being used. pdf — symmetrical about its mean of zero.
Worked example
What does “Normal Distribution” mean in Confidence Intervals?
- 1Use the wording this chapter gives for Normal Distribution.
- 2The book says: a continuous random variable (RV) with pdf f ( x ) = 1 σ 2 π e - ( x - μ ) 2 / 2 σ 2 f ( x ) = 1 σ 2 π e - ( x - μ ) 2 / 2 σ 2 , where μ is the mean of the distribution and σ is….
- 3Do not use the meaning of Standard Deviation. That term means a number that is equal to the square root of the variance and measures how far data values are from their mean; notation: s for sample standard deviation and σ for population….
Result: a continuous random variable (RV) with pdf f ( x ) = 1 σ 2 π e - ( x - μ ) 2 / 2 σ 2 f ( x ) = 1 σ 2 π e - ( x - μ ) 2 / 2 σ 2 , where μ is the mean of the distribution and σ is…
Why. That is the meaning this chapter gives for Normal Distribution.
Do not swap Normal Distribution and Standard Deviation. Normal Distribution means a continuous random variable (RV) with pdf f ( x ) = 1 σ 2 π e - ( x - μ ) 2 / 2 σ 2 f ( x ) = 1 σ 2 π e - ( x - μ ) 2 / 2 σ 2 , where μ is the mean of the distribution and σ is…. Standard Deviation means a number that is equal to the square root of the variance and measures how far data values are from their mean; notation: s for sample standard deviation and σ for population….
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.