we should use | Select an answer b. The null and alternative hypotheses would be: Ho: ?vSelect an answer v H: ? v Select an answer v C. The test statistic (please show your answer to 3 decimal places.) d. The p-value (Please show your answer to 4 decimal places.) !! e. The p-value is ? va f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the population mean has not significanty decreased from 65 at a = 0.01, so there is statistically significant evidence to conclude that kie population nmean decibel level at the library has not decreased since the plug in station was built. O The data suggest that the population mean decibal level has not significantly decreased from 65 at a = 0.01, so there is statistically insignificant evidence to conclude that the population mean decibel level at the library has decreased since the plug in station was built. O The data suggest the populaton mean has significantly decreased from 65 at a 0.01, so there is statistically significant evidence to conclude that the population mean decibel level at the library has decreased since the plug in station was built.
we should use | Select an answer b. The null and alternative hypotheses would be: Ho: ?vSelect an answer v H: ? v Select an answer v C. The test statistic (please show your answer to 3 decimal places.) d. The p-value (Please show your answer to 4 decimal places.) !! e. The p-value is ? va f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the population mean has not significanty decreased from 65 at a = 0.01, so there is statistically significant evidence to conclude that kie population nmean decibel level at the library has not decreased since the plug in station was built. O The data suggest that the population mean decibal level has not significantly decreased from 65 at a = 0.01, so there is statistically insignificant evidence to conclude that the population mean decibel level at the library has decreased since the plug in station was built. O The data suggest the populaton mean has significantly decreased from 65 at a 0.01, so there is statistically significant evidence to conclude that the population mean decibel level at the library has decreased since the plug in station was built.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Please solve for parts D, F, and G.
Transcribed Image Text:### Statistical Analysis of Library Noise Levels
**Scenario:**
Currently, patrons at the library speak at an average of 65 decibels. The study investigates whether this average declines after the installation of a new computer plug-in station. The librarian recorded 40 people speaking in the library post-installation, with an average decibel level of 61.8 and a standard deviation of 20. The analysis is conducted at a significance level of α = 0.01.
**Study Outline:**
a. **Method Selection:**
- Choose the appropriate statistical test from given options.
b. **Hypotheses:**
- **Null Hypothesis (\( H_0 \))**: Formulate the null hypothesis using selected options.
- **Alternative Hypothesis (\( H_1 \))**: Formulate the alternative hypothesis using selected options.
c. **Test Statistic:**
- Calculate and input the test statistic value (to three decimal places).
d. **P-Value:**
- Determine and input the p-value (to four decimal places).
e. **Comparison with Alpha:**
- Compare the p-value to the significance level α.
f. **Decision:**
- Decide whether to reject or fail to reject the null hypothesis based on the comparison.
g. **Conclusion:**
- Choose the correct conclusion based on the analysis:
- Option 1: The data suggest the population mean has not significantly decreased, providing no statistically significant evidence of change.
- Option 2: The data suggest the population mean has not significantly decreased, indicating no statistically significant change in mean decibel level.
- Option 3: The data suggest the population mean has significantly decreased, providing statistically significant evidence of a decrease.
This study aims to determine if the intervention (installation of the plug-in station) effectively reduced noise levels in the library, using appropriate statistical methods and hypotheses testing at a 0.01 significance level.
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