Answered: A researcher is studying hospitals…

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

A researcher is studying hospitals cleanliness comparing carpeted rooms with uncarpted rooms. This researcher would like to determine if the mean number of airborne bacteria (per cubic foot) in carpeted rooms differs from the mean amount of airborne bacteria in uncarpeted rooms. To test thus, carpeted and uncarpeted hospitals rooms were randomely selected. Then air from the room was pumped over a petri dish and the number of bacteria of the patri dish was recorded. Since both samples are small (less than 30), you may assume that number of bacteria per petri dish is normally distributed. Using significant level =.05, use the unequal varance t-test for means to determine if the mean number of airborne bacteria in carpeted rooms differs from the mean number of airborne bacteria in uncarpeted rooms. Follow all steps and remember that you must assign population 1 and population 2 before you set up your Ho and Ha.

Group
Bacteria per cubic foot
Carpeted rooms
11.8 8.2 7.9 14.0
Uncarpeted rooms 12.1 8.7 3.8 6.2
9.6 10.3 15.2 13.9
12.2
11.8
9.1
13.7

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