If s² is computed from a random sample of n observations drawn from an underlying normal population with a finite variance, then the variable is defined as A) = . B) = . C) = . D) = .

Question

Quizplus · Accepted Answer

The 11ea8309_a8de_a843_b223_c73eb77d4279_TB6618_11 variable is the t-statistic computed from the sample. It is defined as (x̄ - μ)/(s/√n), where x̄ is the sample mean, μ is the population mean, s is the sample standard deviation, and n is the sample size. Since the underlying population is normal with a finite variance, the t-statistic follows a t-distribution with n-1 degrees of freedom. Therefore, the answer should be a formula or expression that represents a t-distribution with n-1 degrees of freedom. Only choice B satisfies this criteria, where 11ea8309_a8de_f666_b223_f35dc70f7fbf_TB6618_11 is the t-distribution with n-1 degrees of freedom.

If S2 Is Computed from a Random Sample of N

If S² Is Computed from a Random Sample of N