Answered: The q researcher who was working on 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

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Question

The q researcher who was working on the study from the data set labeled "Type of Bike 1" decided that the variability within the two groups was too large. To handle this issue, she decided to pair by rider. She took one random sample of 17 riders and allowed each rider to use both a carbon- framed bike and a steel-framed bike. In addition, on the day each individual was to ride, she flipped a coin to see which bike the rider would use on the first of the two rides. The same variable (time to Mason in minutes from a distance three miles away) was recorded for each rider using both types of bikes. We are still testing the claim that a difference exists in the mean time it takes to ride to Mason from the distance of three miles away for different bike frame types. The data set is called "Type of Bike 2" and we will use α = 0.05 in this investigation.

- Define the population parameter in context in one sentence.

- State the null and alternative hypotheses using correct notation.

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Type of Bike 1
StatCrunch ▼
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21.2
18.2
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21.6
16.9
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20.4
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10.4
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23.9
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13.1
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21.9
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27.9
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18.4
23.5
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10.1
21.2
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17.3
16.3
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18.1
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23.4
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16.3
15.4
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12.3
17.2
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14.9
17.5
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15.4
17.6
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25.8
29.9
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18.3
19.5
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19.1
26.2
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29.2
19.4
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31.8
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30.1
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21.5
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26.1

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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