Answered: Researchers wanted to determine whether…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter1: Fundamental Concepts Of Algebra

Section1.4: Fractional Expressions

Problem 50E

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Question

Researchers wanted to determine whether fence lizards learned to avoid fire ants. To determine this, they gathered lizards from eastern Arkansas (where there were no fire ants), and from southern Alabama (which had been invaded by fire ants). The lizards were then exposed to fire ants, and researchers measured how long (in seconds) it took the lizards to flee.

What does each dot represent? Choose the best answer.

Choice 1:A difference in time to flee for a single lizard from Alabama, and a single lizard from Arkansas, assuming the null hypothesis is true.

Choice 2:A difference in mean response times for one sample of lizards from Alabama, and one sample of lizards from Arkansas, which was likely to occur if the null hypothesis is true.

Choice 3:A difference in response times for two lizards in our sample.

Choice 4:The proportion of all lizards who will free from fire ants.

Which Choice is most correct and why?

70
60
50
40
30
20
10
0
Left Tail
-15
Two-Tail
Right Tail
-10
null = 0
samples=1000
mean-0.192
std. error = 4.956
M......
10
15

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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