Currently patrons at the library speak at an average of 61 decibels. Will this average decline after the installation of a new computer plug in station? After the plug in station was built, the librarian randomly recorded 57 people speaking at the library. Their average decibel level was 58 and their standard deviation was 10. What can be concluded at the the αα = 0.10 level of significance? For this study, we should use t-test for population mean The null and alternative hypotheses would be: H0:H0: Incorrect >, <, = or not equal to also provide the __?__ H1:H1: Incorrect >,<, = or not equal to also provide the __?__ The test statistic tc =(please show your answer to 3 decimal places.) The p-value = __?__ (Please show your answer to 4 decimal places.) e.Thus, the final conclusion is that .. a. The data suggest the populaton mean has significantly decreased from 61 at αα = 0.10, 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. b. The data suggest the population mean has not significantly decreased from 61 at αα = 0.10, so there is statistically significant evidence to conclude that the population mean decibel level at the library has not decreased since the plug in station was built. c. The data suggest that the population mean decibal level has not significantly decreased from 61 at αα = 0.10, 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.
Currently patrons at the library speak at an average of 61 decibels. Will this average decline after the installation of a new computer plug in station? After the plug in station was built, the librarian randomly recorded 57 people speaking at the library. Their average decibel level was 58 and their standard deviation was 10. What can be concluded at the the αα = 0.10 level of significance? For this study, we should use t-test for population mean The null and alternative hypotheses would be: H0:H0: Incorrect >, <, = or not equal to also provide the __?__ H1:H1: Incorrect >,<, = or not equal to also provide the __?__ The test statistic tc =(please show your answer to 3 decimal places.) The p-value = __?__ (Please show your answer to 4 decimal places.) e.Thus, the final conclusion is that .. a. The data suggest the populaton mean has significantly decreased from 61 at αα = 0.10, 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. b. The data suggest the population mean has not significantly decreased from 61 at αα = 0.10, so there is statistically significant evidence to conclude that the population mean decibel level at the library has not decreased since the plug in station was built. c. The data suggest that the population mean decibal level has not significantly decreased from 61 at αα = 0.10, 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.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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Currently patrons at the library speak at an average of 61 decibels. Will this average decline after the installation of a new computer plug in station? After the plug in station was built, the librarian randomly recorded 57 people speaking at the library. Their average decibel level was 58 and their standard deviation was 10. What can be concluded at the the αα = 0.10 level of significance?
- For this study, we should use t-test for population mean
- The null and alternative hypotheses would be:
H0:H0: Incorrect >, <, = or not equal to also provide the __?__
H1:H1: Incorrect >,<, = or not equal to also provide the __?__
- The test statistic tc =(please show your answer to 3 decimal places.)
- The p-value = __?__ (Please show your answer to 4 decimal places.)
e.Thus, the final conclusion is that ..
-
- a. The data suggest the populaton mean has significantly decreased from 61 at αα = 0.10, 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.
- b. The data suggest the population mean has not significantly decreased from 61 at αα = 0.10, so there is statistically significant evidence to conclude that the population mean decibel level at the library has not decreased since the plug in station was built.
- c. The data suggest that the population mean decibal level has not significantly decreased from 61 at αα = 0.10, 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.
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