Chapter 2: The Normal Distributions

Key Vocabulary:

 §         density curve §          mu §          sigma §         outcomes §         simulation §         normal curve §         normal distribution   §         inflection point §         68-95-99.7 rule §         percentile § §         standardized value §         z-scores §         standard normal distribution §         normal probability plot

 Calculator Skills: §         randInt §         X[35, 185]25   §         Y[-.01, .02].01 §         rand §         ShadeNorm(lowerbound, upperbound, m, s) §         normalpdf(x, m, s) §         normalcdf(lowerbound, upperbound, m, s) §         EE (1E99 and -1E99) §         invNorm(area, m, s)

2.1    Density Curves and the Normal Distributions (pp.78-92)

1.      What is a density curve?

2.      What does the area under a density curve represent?

3.      Where is the median of a density curve located?

4.      Where is the mean of a density curve located?

5.      What is a uniform distribution?

6.      What is the difference between the randInt and rand commands on the TI-83?

7.      How would you describe the  shape of a normal curve?  Draw several examples.

8.      Where on the normal curve are inflection points located?

9.      Explain the 68-95-99.7 Rule.

10.  What is a percentile?

11.  Is there a difference between the 80th percentile and the top 80%?  Explain.

12.  Is there a difference between the 80th percentile and the lower 80%?  Explain.

2.2    Standard Normal Calculations (pp.93-112)

1.      Explain how to standardize a variable.

2.      What is the purpose of standardizing a variable?

3.      What is the standard normal distribution?

4.      What information does the standard normal table give?

5.      How do you use the standard normal table (Table A) to find the area under the standard normal curve to the left of a given z-value?  Draw a sketch.

6.      How do you use Table A to find the area under the standard normal curve to the right of a given z-value?  Draw a sketch.

7.      How do you use Table A to find the area under the standard normal curve between two given z-values?  Draw a sketch.

8.       Describe two methods for assessing whether or not a distribution is approximately normal.