2. Does the data provide sufficient evidence to indicate a difference in the mean dissolved oxygen contents for the four locations? Explain how you arrived at your answer. 2.Water samples were taken at four different locations in a river to determine whether the quantity ofdissolved oxygen, a measure of pollution, varied from one location to another. Data from five waterspecimens randomly selected at each location were analyzed using significance level (a) of 0.01; the result isshown in the output below:SourcesBetween GroupsWithin GroupsTotalSum of Squares7.836123.115130.9512ANOVA OUTPUTdf31619Mean Square2.61201.4447F1.81Does the data provide sufficient evidence to indicate a difference in the mean dissolved oxygencontents for the four locations? Explain how you arrived at your answer.Sig.0.007

The question is about ANOVA Given : F value = 1.81 Sig. = 0.007 Level of signif. ( α ) = 0.01 To…

Answered: 2. Water samples were taken at four…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section: Chapter Questions

Problem 7MCQ

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Question

2. Does the data provide sufficient evidence to indicate a difference in the mean dissolved oxygen contents for the four locations? Explain how you arrived at your answer.

2.
Water samples were taken at four different locations in a river to determine whether the quantity of
dissolved oxygen, a measure of pollution, varied from one location to another. Data from five water
specimens randomly selected at each location were analyzed using significance level (a) of 0.01; the result is
shown in the output below:
Sources
Between Groups
Within Groups
Total
Sum of Squares
7.8361
23.1151
30.9512
ANOVA OUTPUT
df
3
16
19
Mean Square
2.6120
1.4447
F
1.81
Does the data provide sufficient evidence to indicate a difference in the mean dissolved oxygen
contents for the four locations? Explain how you arrived at your answer.
Sig.
0.007

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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