Exam 1

1. Metainformation

   Tag	Value
   file	Distributions_vufsw-central_limit_theorem-1153-en_vufsw-central_limit_theorem-1153-en
   name	vufsw-central limit theorem-1153-en
   section	distributions/limit theorems/central limit theorem
   type	schoice
   solution	FALSE, FALSE, TRUE, FALSE
   Type	calculation
   Program	NA
   Language	English
   Level	statistical reasoning

   Question

   A researcher wants to know how many glasses of alcohol are consumed on average per week by Dutch young people aged between 16 and 18 years. A random sample with 114 youngsters (n=114) yields the following data:

   Mean = 6.13
   Standard error = 0.34
   Standard deviation = 3.66

   The sample distribution appears to be very skewed to the right. Even though the sample is not distributed normally, we can draw certain conclusions because of the Central Limit Theorem. Which of the following conclusion (s) can we draw?

   I. The sampling distribution is skewed to the right.
   II. We can predict with high confidence (about 95% certainty) that the average number of glasses of alcohol consumed per week for all Dutch youngsters between the ages of 16 and 18 will be approximately between 5.45 (6.13 - 0.68) and 6.81 (6.13 + 0.68).

   
   
   1. FALSE: Statement I and II are correct.
   2. FALSE: Statement I is correct en statement II is incorrect.
   3. TRUE: Statement I is incorrect and statement II is correct.
   4. FALSE: Statement I and II are incorrect.
   
   

   Solution

   Statement I is incorrect and statement II is correct.

   Language
   Nederlands

   Levels of Difficulty
   Medium

   M&T BIS
   Default value

   M&T Distributions
   Default value

   
   
   1. False
   2. False
   3. True
   4. False