Introduction to Statistics

Basic Worksheet                                                       Name _____________________________

 

Dr. Sinn and his wife have twins (2˝ years old).  When Dr. Sinn thinks of his future 16-year-old daughter Katie dating, his heart starts pounding.  Suppose that, on average, Dr. Sinn’s denial heart-rate-level has the N(92, 9) distribution.

1.                  Find the Denial Level Heart Rates (X-values) related to the p-values given below:

a. Lower 70%                                                  b. Upper 80%

                                   

 

c. Middle 50%                                                 d. Middle 80%

                       

 

2.                  Find the following areas or probabilities (remember to subtract!):

a. P(80 < X < 90)                                            b. P(75 < X <115 )

                                   

 

Use the blank templates below to sketch the region indicated, and find all requisite p-values and X-values.  Mean is 92,  standard deviation is 9.

 

3.                  P(75 < X < 100)

 

 

4.                  P(95 < X)

 

 

5.                  The “Middle 75%”

 

 

6.                  The “Middle 99%”