Currently patrons at the library speak at an average of 70 decibels. Will this average increase after the installation of a new computer plug in station? After the plug in station was built, the librarian randomly recorded 58 people speaking at the library. Their average decibel level was 75.4 and their standard deviation was 15. What can be concluded at the the ax = 0.05 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? Select an answer H₁: ? Select an answer ✓ c. The test statistic ? d. The p-value = e. The p-value is? ♥ a f. Based on this, we should g. Thus, the final conclusion is that ... = (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) Select an answer the null hypothesis. O The data suggest the population mean has not significantly increased from 70 at a = 0.05, so there is statistically significant evidence to conclude that the population mean decibel level at the library has not increased since the plug in station was built. O The data suggest the populaton mean has significantly increased from 70 at a = 0.05, so there is statistically significant evidence to conclude that the population mean decibel level at the library has increased since the plug in station was built. O The data suggest that the population mean decibal level has not significantly increased from 70 at x = 0.05, so there is statistically insignificant evidence to conclude that the population mean decibel level at the library has increased since the plug in station was built.

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Author:Amos Gilat
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Currently, patrons at the library speak at an average of 70 decibels. Will this average increase after the installation of a new computer plug-in station? After the plug-in station was built, the librarian randomly recorded 58 people speaking at the library. Their average decibel level was 75.4, and their standard deviation was 15. What can be concluded at the α = 0.05 level of significance?

a. For this study, we should use [Select an answer]

b. The null and alternative hypotheses would be:

\[ H_0: \] [Select an answer] [ ]

\[ H_1: \] [Select an answer] [ ]

c. The test statistic \( t = \) [ ] (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 [Select an answer] α.
   
f. Based on this, we should [Select an answer] the null hypothesis.

g. Thus, the final conclusion is that ...

- \( \bigcirc \) The data suggest the population mean has not significantly increased from 70 at α = 0.05, so there is statistically significant evidence to conclude that the population mean decibel level at the library has not increased since the plug-in station was built.

- \( \bigcirc \) The data suggest the population mean has significantly increased from 70 at α = 0.05, so there is statistically significant evidence to conclude that the population mean decibel level at the library has increased since the plug-in station was built.

- \( \bigcirc \) The data suggest that the population mean decibel level has not significantly increased from 70 at α = 0.05, so there is statistically insignificant evidence to conclude that the population mean decibel level at the library has increased since the plug-in station was built.
Transcribed Image Text:Currently, patrons at the library speak at an average of 70 decibels. Will this average increase after the installation of a new computer plug-in station? After the plug-in station was built, the librarian randomly recorded 58 people speaking at the library. Their average decibel level was 75.4, and their standard deviation was 15. What can be concluded at the α = 0.05 level of significance? a. For this study, we should use [Select an answer] b. The null and alternative hypotheses would be: \[ H_0: \] [Select an answer] [ ] \[ H_1: \] [Select an answer] [ ] c. The test statistic \( t = \) [ ] (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 [Select an answer] α. f. Based on this, we should [Select an answer] the null hypothesis. g. Thus, the final conclusion is that ... - \( \bigcirc \) The data suggest the population mean has not significantly increased from 70 at α = 0.05, so there is statistically significant evidence to conclude that the population mean decibel level at the library has not increased since the plug-in station was built. - \( \bigcirc \) The data suggest the population mean has significantly increased from 70 at α = 0.05, so there is statistically significant evidence to conclude that the population mean decibel level at the library has increased since the plug-in station was built. - \( \bigcirc \) The data suggest that the population mean decibel level has not significantly increased from 70 at α = 0.05, so there is statistically insignificant evidence to conclude that the population mean decibel level at the library has increased since the plug-in station was built.
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