15) A researcher wants to know if mood is affected by music. She conducts a test on a sample of 4 randomly selected adults and measures mood rating before and after being exposed to classical music. Test the hypothesis that (average) mood rating improved after being exposed to classical music. Following are the mood ratings for the four participants: Before After exposure 4.0 exposure 5.0 Participant #1 Participant #2 Participant #3 Participant #4 5.2 6.0 3.2 4.0 4.5 6.2 Assume that all conditions for testing have been met. Report the null and alternative hypothesis and p-value. At the 5% significance level, state your decision regarding the null hypothesis and your conclusion about the original claim. Round all values to the nearest thousandth. Но- Hai- p-value = Compare the p-value and a: Decision: Conclusion:
15) A researcher wants to know if mood is affected by music. She conducts a test on a sample of 4 randomly selected adults and measures mood rating before and after being exposed to classical music. Test the hypothesis that (average) mood rating improved after being exposed to classical music. Following are the mood ratings for the four participants: Before After exposure 4.0 exposure 5.0 Participant #1 Participant #2 Participant #3 Participant #4 5.2 6.0 3.2 4.0 4.5 6.2 Assume that all conditions for testing have been met. Report the null and alternative hypothesis and p-value. At the 5% significance level, state your decision regarding the null hypothesis and your conclusion about the original claim. Round all values to the nearest thousandth. Но- Hai- p-value = Compare the p-value and a: Decision: Conclusion:
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Solve the problem. 15)
A researcher wants to know if mood is affected by music. She conducts a test on a sample of 4 randomly
selected adults and measures mood rating before and after being exposed to classical music. Test the hypothesis
that (average) mood rating improved after being exposed to classical music. Following are the mood ratings for
the four participants:
Assume that all conditions for testing have been met. Report the null and alternative hypothesis and p-value.
At the 5% significance level, state your decision regarding the null hypothesis and your conclusion about the
original claim. Round all values to the nearest thousandth.
H0:________________________ Ha:_______________________
p-value = ___________ Compare the p-value and Į:________________
Decision:_________________________
Conclusion:________________________________________________________________________________________
![**Solve the Problem**
15) A researcher wants to know if mood is affected by music. She conducts a test on a sample of 4 randomly selected adults and measures mood rating before and after being exposed to classical music. Test the hypothesis that (average) mood rating improved after being exposed to classical music. Following are the mood ratings for the four participants:
\[
\begin{array}{|c|c|c|}
\hline
\textbf{} & \textbf{Before exposure} & \textbf{After exposure} \\
\hline
\text{Participant \#1} & 4.0 & 5.0 \\
\hline
\text{Participant \#2} & 5.2 & 6.0 \\
\hline
\text{Participant \#3} & 3.2 & 4.0 \\
\hline
\text{Participant \#4} & 4.5 & 6.2 \\
\hline
\end{array}
\]
Assume that all conditions for testing have been met. Report the null and alternative hypothesis and p-value. At the 5% significance level, state your decision regarding the null hypothesis and your conclusion about the original claim. Round all values to the nearest thousandth.
\(H_0: \) ________________________
\(H_a: \) ________________________
p-value = _______
Compare the p-value and \( \alpha: \) ________________________
Decision: ________________________
Conclusion: ________________________________________________________________________
______________________________________________________________________________________.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3f00bbdb-b33e-4d82-83f5-747a50259410%2F4eab00da-537d-4557-9225-62da0a1b9a15%2Fi65rlz_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Solve the Problem**
15) A researcher wants to know if mood is affected by music. She conducts a test on a sample of 4 randomly selected adults and measures mood rating before and after being exposed to classical music. Test the hypothesis that (average) mood rating improved after being exposed to classical music. Following are the mood ratings for the four participants:
\[
\begin{array}{|c|c|c|}
\hline
\textbf{} & \textbf{Before exposure} & \textbf{After exposure} \\
\hline
\text{Participant \#1} & 4.0 & 5.0 \\
\hline
\text{Participant \#2} & 5.2 & 6.0 \\
\hline
\text{Participant \#3} & 3.2 & 4.0 \\
\hline
\text{Participant \#4} & 4.5 & 6.2 \\
\hline
\end{array}
\]
Assume that all conditions for testing have been met. Report the null and alternative hypothesis and p-value. At the 5% significance level, state your decision regarding the null hypothesis and your conclusion about the original claim. Round all values to the nearest thousandth.
\(H_0: \) ________________________
\(H_a: \) ________________________
p-value = _______
Compare the p-value and \( \alpha: \) ________________________
Decision: ________________________
Conclusion: ________________________________________________________________________
______________________________________________________________________________________.
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