Answered: Four chemical plants, producing the…

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

Topic Video

Question

Four chemical plants, producing the same products and owned by the same company, discharge effluents
into streams in the vicinity of their locations. To monitor the extent of pollution created by the effluents
and to determine whether this differs from plant to plant, the company collected random samples of
liquid waste, five specimens from each plant. The data are given below along with output from the
ANOVA test to determine whether a difference exists between the mean weight of effluents per gallon
in the effluents discharged from the four plants. α = 0.05 was used.

Table 1: Summary

Group	Count	Sum	Average	Variance
A	5	7.84	1.568	0.01867
B	5	8.86	1.772	0.04667
C	5	7.73	1.546	0.02533
D	5	9.58	1.916	0.02853

Table2 Anova

Sourse of variation	DF	SS	MS	F	p-value
Treatment	(a)	0.465	0.155	5.200	0.011
Error	16	(b)	(c)
Total	19	0.942

Construct a 95% confidence interval for the mean amount of polluting effluent per gallon for plant
A. If the limit for the mean amount of polluting effluent is 1.5 pound/gallon, would you conclude
that plant A exceeds this limit? Why?

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

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Hypothesis Tests and Confidence Intervals for Means$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions