Answered: Question 6: Mercury pollution: Mercury…

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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Question 6: Mercury pollution: Mercury is a toxic metal that is used in many industrial applications. Eight measurements, in milligrams per cubic meter, were taken of the mercury concentration in a lake, with the following results. Assume that the population of measurements is approximately normally distributed.

0.99

1.01

1.02

0.94

0.93

1.00

0.96

0.98

Sample size: 8

Sample mean: 0.979

Sample standard deviation: 0.033

Can you conclude that the mean concentration is less than 1 milligram per cubic meter? Use the a =0.05 level of significance.

H0: μ=1

H1:μ< 1

Part 1: (a) Find the P-value. Round your answer to four decimal places if necessary.

The P-value is (BLANK)

Part 2: (b) What is the decision?

A. Reject H0

B. Do Not Reject H0

Part 3: (c) Interpret the result.

We ▼(Choose one) enough evidence at the 0.05 level of significance to conclude that mean concentration is less than 1 milligram per cubic meter.

Answer Choices:

A.Have

B. Do Not Have

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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