The Student Government Association at Middle Carolina University wanted to demonstrate the relationship between the number of beers a student drinks and his or her 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 they consumed their assigned number of beers, a member of the local sheriff’s office measured their blood alcohol content. The sample information is reported below.

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 relationship in the population between the number of beers consumed and the BAC? What is the p-value?

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Student Beers ВАС Student Beers BAC 1 6 0.10 10 3 0.07 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 6. 0.09 18 1 0.02