Exam 1

1. Metainformation

   Tag	Value
   file	Distributions_uva-distribution-621-en_uva-distribution-621-en
   name	uva-distribution-621-en
   section	Distributions/Continuous/t-distribution
   type	schoice
   solution	FALSE, FALSE, TRUE, FALSE
   Type	Conceptual
   Language	English
   Level	Statistical Literacy
   IRT-Difficulty	2.081
   p-value	0.5415

   Question

   A variable A is normally distributed according to N(μ,σ^²). We draw a sample of size n from this distribution, with mean $\bar{x}$ and sd s. Then it follows that the quantity $\frac{\bar{A}-\mu }{\frac{s}{\sqrt{n}}}$ the following distribution:

   
   
   1. FALSE: N(0,1), the standard normal distribution
   2. FALSE: T[n], the T-distribution with n degrees of freedom
   3. TRUE: T[n-1], the T-distribution with n-1 degrees of freedom
   4. FALSE: N(μ,σ²), the normal distribution with mean μ and variance σ²
   
   
   1. N(0,1), the standard normal distribution: Incorrect
   2. T[n], the T distribution with n degrees of freedom: Incorrect
   3. T[n-1], the T distribution with n-1 degrees of freedom: Correct
   4. N(μ,σ²), the normal distribution with mean μ and variance σ²: Incorrect