Answered: The ideal (daytime)noise-level for…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Question

The ideal (daytime)noise-level for hospitals is 45 decibels with a standard deviation of 10 decibels. A simple random sample of 700 hospitals at a moment during the day gives a mean noise level of 46 decibels. Assume that the standard deviation of noise level is really 10 decibels. 1)Assuming that the average noise level of hospital is what it’s supposed to be, what is the probability of a sample of 700 hospital producing an average as high as our sample’s (p-value)? 2) Which comes from a test statistic of z=____ 3) Assuming that the average noise level of hospitals is what it’s supposed to be, what is the probability of a sample of this many hospitals producing an average as far from the truth as is our sample’s (p-value)?

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 + ...

Expert Solution