Please solve for parts D, F, and G. ### 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.

Given data : sample size, n = 40 sample mean, x̄ = 61.8 sample standard…

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

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