tallation of a new computer plug in station? After the plug in station was built, the librarian randomly orded 51 people speaking at the library. Their average decibel level was 57.8 and their standard deviation 5 6. What can be concluded at the the a = 0.01 level of significance? a. For this study, we should use t-test for a population mean D. The null and alternative hypotheses would be: Ho: με H₁: <> 60 60 The test statistic t = -2.619 O (please show your answer to 3 decimal places.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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Question
Currently patrons at the library speak at an average of 60 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 51 people speaking at the library. Their average decibel level was 57.8 and their standard deviation
was 6. What can be concluded at the the a= 0.01 level of significance?
a. For this study, we should use t-test for a population mean
b. The null and alternative hypotheses would be:
Ho: Ho
Η: με
c. The test statistic t
C
60
60
-2.619 (please show your answer to 3 decimal places.)
(Please show your answer to 4 decimal places.)
d. The p-value =
e. The p-value is?
a
f. Based on this, we should Select an answer the null hypothesis.
g. Thus, the final conclusion is that ...
O The data suggest the population mean has not significantly decreased from 60 at a = 0.01, 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.
O The data suggest that the population mean decibal level has not significantly decreased from 60
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 60 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.
Hint:
Helpful Videos: Calculations [+] Setup [+] Interpretations [+]
Help
Transcribed Image Text:Currently patrons at the library speak at an average of 60 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 51 people speaking at the library. Their average decibel level was 57.8 and their standard deviation was 6. What can be concluded at the the a= 0.01 level of significance? a. For this study, we should use t-test for a population mean b. The null and alternative hypotheses would be: Ho: Ho Η: με c. The test statistic t C 60 60 -2.619 (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) d. The p-value = e. The p-value is? a f. Based on this, we should Select an answer the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the population mean has not significantly decreased from 60 at a = 0.01, 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. O The data suggest that the population mean decibal level has not significantly decreased from 60 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 60 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. Hint: Helpful Videos: Calculations [+] Setup [+] Interpretations [+] Help
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