Exam 1

1. Metainformation

   Tag	Value
   file	Distributions_uva-central-limit-theorem-1293-en_uva-central-limit-theorem-1293-en
   name	uva-central-limit-theorem-1293-en
   section	Distributions/Limit Theorems/Central Limit Theorem
   type	schoice
   solution	FALSE, TRUE, FALSE, FALSE
   Type	Calculation
   Language	English
   Level	Statistical Literacy
   IRT-Difficulty	3
   p-value	0.311

   Question

   A study of rush-hour traffic in Amsterdam shows the number of persons per vehicle entering a highway. Suppose X is the number of persons per vehicle with a mean of 1.5 and a standard deviation of 0.75 in the population.Ó A traffic expert estimates the capacity of an on-ramp to be 700 vehicles per hour. Use the Central Limit Theorem. Calculate an approximate the distribution of the average number of people in 700 randomly selected vehicles:

   
   
   1. FALSE: The distribution has a mean of 1 and a standard deviation of 1.
   2. TRUE: The distribution has a mean of 1.5 and a standard deviation of 0.028.
   3. FALSE: The distribution has a mean of 1.5 and a standard deviation of 0.75
   4. FALSE: The distribution has a mean of 350 and a standard deviation of 700.
   
   
   1. The distribution has a mean of 1 and a standard deviation of 1.:Incorrect
   2. The distribution has a mean of 1.5 and a standard deviation of 0.028…: Correct
   3. The distribution has a mean of 1.5 and a standard deviation of 0.75: Incorrect
   4. The distribution has a mean of 350 and a standard deviation of 700…: Incorrect