Dr. Aukuculus is exploring the effects of bluelight on college students' sleep schedule. He uses 16 students to test his theory, 8 using bluelight 30 minutes before they go to bed and 8 using no bluelight 30 minutes before bed. He believes that students who use the bluelight will have struggles falling asleep, compared to students who do not use the bluelight. He has collected data to support his hypothesis, the higher the number the longer it takes the student to fall asleep, and the lower the number the shorter it takes the student to fall asleep. Values are the number of minutes. Bluelight No Bluelight 14 14 22 13 30 12 25 12 23 20 16 17 23 10 30 13 Please calculate the test statistic and pvalue. What can be concluded? Support your answer. Please calculate the 95% confidence interval Interpret the interval. What can be concluded? Support your answer.
Dr. Aukuculus is exploring the effects of bluelight on college students' sleep schedule. He uses 16 students to test his theory, 8 using bluelight 30 minutes before they go to bed and 8 using no bluelight 30 minutes before bed. He believes that students who use the bluelight will have struggles falling asleep, compared to students who do not use the bluelight. He has collected data to support his hypothesis, the higher the number the longer it takes the student to fall asleep, and the lower the number the shorter it takes the student to fall asleep. Values are the number of minutes. Bluelight No Bluelight 14 14 22 13 30 12 25 12 23 20 16 17 23 10 30 13 Please calculate the test statistic and pvalue. What can be concluded? Support your answer. Please calculate the 95% confidence interval Interpret the interval. What can be concluded? Support your answer.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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Dr. Aukuculus is exploring the effects of bluelight on college students' sleep schedule. He uses 16 students to test his theory, 8 using bluelight 30 minutes before they go to bed and 8 using no bluelight 30 minutes before bed. He believes that students who use the bluelight will have struggles falling asleep, compared to students who do not use the bluelight. He has collected data to support his hypothesis, the higher the number the longer it takes the student to fall asleep, and the lower the number the shorter it takes the student to fall asleep. Values are the number of minutes.
Bluelight |
No Bluelight |
14 |
14 |
22 |
13 |
30 |
12 |
25 |
12 |
23 |
20 |
16 |
17 |
23 |
10 |
30 |
13 |
- Please calculate the test statistic and pvalue.
- What can be concluded? Support your answer.
- Please calculate the 95% confidence interval
- Interpret the interval.
- What can be concluded? Support your answer.
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