12 The Student Government Association At Middle Carolina University Wanted To Demon 1307998

12.   The Student Government Association at Middle Carolina University wanted to demon- strate the relationship between the number of beers a student drinks and their blood alcohol content (BAC). A random sample of 18 students participated in a study in which each participating student was randomly assigned a number of 12-ounce cans of beer to drink. Thirty minutes after consuming their assigned number of beers a member of the local sheriff’s office measured their blood alcohol content. The sample information is reported below.

Student

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Beers

BAC

 

Student

Beers

BAC

1

6

0.10

10

3

0.07

2

7

0.09

11

3

0.05

3

7

0.09

12

7

0.08

4

4

0.10

13

1

0.04

5

5

0.10

14

4

0.07

6

3

0.07

15

2

0.06

7

3

0.10

16

7

0.12

8

6

0.12

17

2

0.05

9

6

0.09

18

1

0.02

 

Use a statistical software package to answer the following questions.

a.   Develop a scatter diagram for the number of beers consumed and BAC. Comment on the relationship. Does it appear to be strong or weak? Does it appear to be positive or inverse?

b.  Determine the correlation coefficient.

c.   At the .01 significance level, is it reasonable to conclude that there is a positive rela- tionship in the population between the number of beers  consumed  and  the BAC? What is the p-value?