Class Assignment - Chapter 2: Problem 1: A sample data set with a bell-shaped distribution has mean x-bar = 6 and standard deviation s= 2. Find the approximate proportion of observations in the data set that lie: 1. between 4 and 8; 2. between 2 and 10; 3. between 0 and 12. Problem 2: A population data set with a bell-shaped distribution and size N= 500 has mean u= 2 and standard deviation a = 1.1. Find the approximate number of observations in the data set that lie: 1. above 2; 2. above 3.1; 3. between 2 and 3.1. Problem 3: A sample data set has mean x-bar = 6 and standard deviation s 2. Find the minimum proportion of observations in the data set that must lie: 1. between 2 and 10; 2. between 0 and 12; 3. between 4 and 8. Problem 4: A population data set of size N = 500 has mean u = 5.2 and standard deviation a = 1.1. Find the minimum number of observations in the data set that must lie: 1. between 3 and 7.4; 2. between 1.9 and 8.5. Problem 5: Scores on a final exam taken by 1,200 students have a bell-shaped distribution with mean 72 and standard deviation 9. 1. What is the median score on the exam? 2. About how many students scored between 63 and 81? 3. About how many students scored between 72 and 90? 4. About how many students scored below 54?