The Student Government Association at Middle Carolina University wanted to demonstrate the relationship
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question.docx|
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. |
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Student |
Beers |
BAC |
Student |
Beers |
BAC |
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1 |
6 |
0.10 |
10 |
3 |
0.07 |
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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 |
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2.
value: 10.00 points
Required information
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b. |
Fill in the blanks below. (Round your answers to 3 decimal places.) |
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sx |
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sy |
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c. |
Determine the coefficient of correlation and coefficient of determination. (Round your answers to 3 decimal places.) |
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Coefficient of correlation |
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Coefficient of determination |
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References
eBook & Resources
WorksheetDifficulty: 2 IntermediateLearning Objective: 13-02 Calculate a correlation coefficient to test and interpret the relationship between two variables.
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c-1. |
State the decision rule for .01 significance level: H0: ρ ≤ 0; H1: ρ > 0. (Round your answer to 3 decimal places.) |
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Reject H0 if t > |
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c-2. |
Compute the value of the test statistic. (Round your answer to 2 decimal places.) |
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Value of the test statistic |
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c-3. |
What is the p-value? (Hint: use Megastat) (Round p-value to 4 decimal places.) |
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p-value |
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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? |
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H0 . There is between beers consumed and BAC. |
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