MATH 221 Week 4 Discussion | Devry University

MATH 221 Week 4 Discussion | Devry University

1. Using these 20 data points from a normal distribution, find their μ and σ.  Then find P(x<20).  Compare that probability with the percent of the 20 data points that are below 20. 

22.1    30.9    18.6    34.7    15.3    37.1    40.8    33.9    40.8    18.1    15.1    32.6    30.3    28.3    28.3    23.1    28.4    20.7    25.1    22.1   

 

2. Using these 20 data points from a normal distribution, find their μ and σ.  Then find P(20<x<35).  Compare that probability with the percent of the 20 data points that are between 20 and 35. 

22.1    30.9    18.6    34.7    15.3    37.1    40.8    33.9    40.8    18.1    15.1    32.6    30.3    28.3    28.3    23.1    28.4    20.7    25.1    22.1   

 

3. Give an example of a normally distributed variable that is found within your daily life.  Describe why it is a normally distributed variable.

4. Give an example of a variable with a right skewed distribution that is found within your daily life.  Describe why it has a right skewed distribution.

5. Give an example of a variable with a left skewed distribution that is found within your daily life.  Describe why it has a left skewed distribution.

6. Describe why each of these variables is either discrete or continuous:  Number of students in a live lesson and the length of the live lesson

7. Describe why each of these variables is either discrete or continuous:  Paint cans sold and paint used to cover walls.

8.    Use the Empirical Rule to find the 68% range and find the percentage of data points in that range.

          5  6  3  3  4  2   7  8  9  2  5  4   3   11  21   31  22  27  28  18

 

9. Use the Empirical Rule to find the 95% range and find the percentage of data points in that range.

          5  6  3  3  4  2   7  8  9  2  5  4   3   11  21   31  22  27  28  18

 

10.  Ethics:  Consider a manufacturing company that is counting the number of products completed.  Consider that there were two products that were both half done and the company included the two halves as one additional completion in its count of products completed.  What would be your argument for or against this presentation?

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