When we replace $\sigma$
With the sample standard deviation (s),we introduce a new source of variability and the sampling distribution becomes the:
A) t -distribution
B) F- distribution
C) chi-square distribution
D) normal distribution

Question

Quizplus · Accepted Answer

When the population standard deviation ($\sigma$) is unknown and is replaced by the sample standard deviation (s), the sampling distribution of the sample mean follows a t-distribution, especially when the sample size is small.

When We Replace σ\sigmaσ With the Sample Standard Deviation (S),we Introduce a New Source

When We Replace $\sigma$ With the Sample Standard Deviation (S),we Introduce a New Source