Exam 1

1. Metainformation

   Tag	Value
   file	Descriptive-statistics_vufsw-empiricalrule-0012-en_vufsw-empiricalrule-0012-en
   name	vufsw-empiricalrule-0012-en
   section	distributions/continuous/normal
   type	schoice
   solution	FALSE, FALSE, FALSE, TRUE, FALSE
   Type	conceptual
   Program	NA
   Language	English
   Level	statistical literacy

   Question

   Descriptive statistics of a variable look like the following:

   

   Which of the following statements about the empirical rule (“Empirical Rule”) is correct? If the data is normally distributed, then approximately that …

   
   
   1. FALSE: 95% of the sample averages are between 1.30 and 2.54
   2. FALSE: 95% of the standard deviations are between 0.28 and 0.34.
   3. FALSE: 95% of the standard errors are between 0.28 and 0.34.
   4. TRUE: 95% of the observations are between 1.30 and 2.54.
   5. FALSE: 95% of z-scores are between 1.30 and 2.54.
   
   

   Solution

   The empirical rule is a statistical rule which states that for a normal distribution, almost all data will fall within three standard deviations of the mean. Broken down, the empirical rule shows that 68% will fall within the first standard deviation, 95% within the first two standard deviations, and 99.7% will fall within the first three standard deviations of the distribution’s mean.

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