If a random sample of size n is drawn from a normal distribution,then the standardized
variable t = (
- μ)/ (s/
)has a Student's t-distribution with n-1 degrees of freedom.

Question

If a random sample of size n is drawn from a normal distribution,then the standardized
variable t = (  
- μ)/ (s/  
)has a Student's t-distribution with n-1 degrees of freedom.

Quizplus · Accepted Answer

This is correct according to the definition of the Student's t-distribution. When a random sample is drawn from a normal distribution, the t-statistic is used to test hypotheses about the mean of the population. Its distribution follows the Student's t-distribution with n-1 degrees of freedom.

If a Random Sample of Size N Is Drawn from a Normal