Answered: The Environmental Protection…

Name: The Environmental Protection Agency(EPA) recommends that concentration
Uploaded: 2024-03-20T07:07:12.000Z
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Description: The Environmental Protection Agency(EPA) recommends that concentrations of the carcinogen icinsecticide mirex found in salmon, be at a level of no morethan0.08 parts per million. Researchers tested 75 randomly chosen farm raised salmon from 45 differ

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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The Environmental Protection Agency(EPA) recommends that concentrations of the carcinogen icinsecticide mirex found in salmon, be at a level of no morethan0.08 parts per million. Researchers tested 75 randomly chosen farm raised salmon from 45 different farms and found the mean concentration of mirex to be 0.0853 with a standard deviation of 0.0315. A histogram of the distribution was fairly symmetric and showed no outliers. Are farm raised salmon contaminated beyond the level permitted by the EPA? Use a significance level of 0.01.

a) State the hypotheses in symbols.

b) Use your calculator to perform a 1-Sample t-Test and report the test statistic and p-value. use the T-Test command in your graphing

calculator found under STAT-Tests. Write out what you entered in your calculator.

c)Write a full conclusion for this test in the context of the problem

d)Find a 98% confidence interval for the mean amount of mirex found in farm-raisedsalmon. Use the T-Interval command in your graphing

calculator found under STAT–TESTS. Write out what you entered in your calculator.

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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