Question

Due Sat 11/23/2019 10:05 pm Currently patrons at the library speak at an average of 63 decibels. Will this average change after the installation of a new computer plug in station? After the plug in station was built, the librarian randomly recorded 64 people speaking at the library. Their average decibel level was 65.4 and their standard deviation was 14. What can be concluded at the the a = 0.05 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: H: ? ? c. The test statistic ? D = (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? Da f. Based on this, we should Select an answer the null hypothesis, g. Thus, the final conclusion is that ... The data suggest the populaton mean has significantly changed from 63 at a 0.05, so there is statistically significant evidence to conclude that the population mean decibel level at the library has changed since the plug in station was built. The data suggest the population mean has not significantly changed from 63 at 0.05, so there is statistically significant evidence to conclude that the population mean decibel level at the library has not changed since the plug in station was built. The data suggest that the population mean decibal level has not significantly changed from 63 at 0.05. so there is statistically insignificant evidence to conclude that the population mean decibel level at the library has changed since the plug in station was built. Hint: Helpful Videos: Calculations Help [] Setup [+] Interpretations [+]

Answer 1

a) For this study, we should use t- distribution.

b)

89 = 11:H

   

H, :μ + 63.

c) The test statistic is

us

  

65.4 - 63 14/64

  

= 1.371

d) P-value = 2 * P(T > 1.371)

                 = 2 * (1 - P(T < 1.371))

                 = 2 * (1 - 0.9124)

                = 0.1752

e) The P-value is > $\alpha$ .

f) Based on this, we should not reject the null hypothesis.

g) Option - B) The data suggest the population mean has not significantly changed from 63 at , so there is statistically significant evidence to conclude that the population mean decibel level at the library has not changed since the plug in station was built.

90'0 = 5