Exercise 13-12 The Student Government Association at Middle Carolina University

| August 30, 2017

Question
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.

Student

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

2.

value:
10.00 points

Required information

b.

Fill in the blanks below.(Round your answers to 3 decimal places.)

Description: picture

Description: picture

sx

sy

c.

Determine the coefficient of correlation and coefficient of determination.(Round your answers to 3 decimal places.)

Coefficient of correlation

Coefficient of determination

References

eBook & Resources

WorksheetDifficulty: 2 IntermediateLearning Objective: 13-02 Calculate a correlation coefficient to test and interpret the relationship between two variables.

Check my work

Required information

c-1.

State the decision rule for .01 significance level: H0: ? ? 0; H1: ? > 0. (Round your answer to 3 decimal places.)

Reject H0 if t >

c-2.

Compute the value of the test statistic.(Round your answer to 2 decimal places.)

Value of the test statistic

c-3.

What is the p-value? (Hint: use Megastat)(Round p-value to 4 decimal places.)

p-value

c-4.

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?

H0 . There is between beers consumed and BAC.

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