Currently patrons at the library speak at an average of 67 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 61 people speaking at the library. Their average decibel level was 64.9 and their standard deviation was 8. What can be concluded at the the αα = 0.05 level of significance?For this study, we should use Correct The null and alternative hypotheses would be: H0:H0: Correct Correct Correct H1:H1: Correct Incorrect Correct < The test statistic Correct = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.)The p-value is ααBased on this, we should the null hypothesis.Thus, the final conclusion is that ...The data suggest that the population mean decibal level has not significantly decreased from 67 at αα = 0.05, 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.

For the given data Perform t test for one sample mean

Answered: installation of a new computer plug in…

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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Currently patrons at the library speak at an average of 67 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 61 people speaking at the library. Their average decibel level was 64.9 and their standard deviation was 8. What can be concluded at the the αα = 0.05 level of significance?

For this study, we should use Correct

The null and alternative hypotheses would be:

H0:H0: Correct Correct Correct

H1:H1: Correct Incorrect Correct

The test statistic Correct = (please show your answer to 3 decimal places.)

The p-value = (Please show your answer to 4 decimal places.)
The p-value is αα
Based on this, we should the null hypothesis.
Thus, the final conclusion is that ...
- The data suggest that the population mean decibal level has not significantly decreased from 67 at αα = 0.05, 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.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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