Asked by Ariana Chapman on Apr 28, 2024
Verified
The t-distribution approaches the normal distribution as the number of degrees of freedom increases.
T-Distribution
Is a type of probability distribution that is symmetric and bell-shaped, used in statistics when the sample size is small and the population standard deviation is unknown.
Degrees Of Freedom
The number of values in a calculation that are free to vary without violating any constraints, used to determine the shape of various statistical distributions.
- Understand how t-distribution approaches the normal distribution with increasing degrees of freedom.
Verified Answer
ZK
Zybrea KnightMay 04, 2024
Final Answer :
True
Explanation :
As the number of degrees of freedom increases, the t-distribution becomes narrower and its shape approaches that of the standard normal distribution. In fact, when the degrees of freedom are very large, the t-distribution is almost identical to the normal distribution.
Learning Objectives
- Understand how t-distribution approaches the normal distribution with increasing degrees of freedom.
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