Researchers in education are performing a study to see if listening to soothing music while taking a standardized math test increases the mean test score. The hypotheses are Ho: µ = 79 versus Ha: u > 79, and the p-value for the hypothesis test was 0.035. %3D Which of the following is the best interpretation of this p-value? o If listening to soothing music has no effect on the mean test score, the probability of obtaining the observed mean test score or something larger is 0.035. o If listening to soothing music increases the mean test score, the probability of obtaining the observed mean test score or something larger is 0.035. O There is a 3.5% chance that listening to soothing music has no effect on the mean test score. o There is a 3.5% chance that listening to soothing music increases the mean test score.
Researchers in education are performing a study to see if listening to soothing music while taking a standardized math test increases the mean test score. The hypotheses are Ho: µ = 79 versus Ha: u > 79, and the p-value for the hypothesis test was 0.035. %3D Which of the following is the best interpretation of this p-value? o If listening to soothing music has no effect on the mean test score, the probability of obtaining the observed mean test score or something larger is 0.035. o If listening to soothing music increases the mean test score, the probability of obtaining the observed mean test score or something larger is 0.035. O There is a 3.5% chance that listening to soothing music has no effect on the mean test score. o There is a 3.5% chance that listening to soothing music increases the mean test score.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Problem 1P
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![**Study on the Impact of Soothing Music on Test Performance**
Researchers in education are performing a study to determine if listening to soothing music while taking a standardized math test increases the mean test score. The hypotheses are:
- \( H_0: \mu = 79 \) (Null Hypothesis: The mean test score is 79)
- \( H_a: \mu > 79 \) (Alternative Hypothesis: The mean test score is greater than 79)
The *p-value* for the hypothesis test was 0.035.
**Question: Which of the following is the best interpretation of this *p-value*?**
- If listening to soothing music has no effect on the mean test score, the probability of obtaining the observed mean test score or something larger is 0.035.
- If listening to soothing music increases the mean test score, the probability of obtaining the observed mean test score or something larger is 0.035.
- There is a 3.5% chance that listening to soothing music has no effect on the mean test score.
- There is a 3.5% chance that listening to soothing music increases the mean test score.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F064aec2b-96bf-4be0-a1f2-689bafa9211a%2F10265ace-74d0-4a3b-b8f9-548322bf1b02%2F2volphk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Study on the Impact of Soothing Music on Test Performance**
Researchers in education are performing a study to determine if listening to soothing music while taking a standardized math test increases the mean test score. The hypotheses are:
- \( H_0: \mu = 79 \) (Null Hypothesis: The mean test score is 79)
- \( H_a: \mu > 79 \) (Alternative Hypothesis: The mean test score is greater than 79)
The *p-value* for the hypothesis test was 0.035.
**Question: Which of the following is the best interpretation of this *p-value*?**
- If listening to soothing music has no effect on the mean test score, the probability of obtaining the observed mean test score or something larger is 0.035.
- If listening to soothing music increases the mean test score, the probability of obtaining the observed mean test score or something larger is 0.035.
- There is a 3.5% chance that listening to soothing music has no effect on the mean test score.
- There is a 3.5% chance that listening to soothing music increases the mean test score.
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