Shown below is a randomization dotplot for sample differences in student pulse rates during a quiz versus listening to a lecture. Use the randomization dotplot to answer the questions that follow:The randomization dotplot is based on 5000 simulated samples under the null hypothesis assumption that there is no difference in mean pulse rates during a quiz versus during a lecture. The alternative hypothesis is that the difference is greater than zero (or that the mean pulse rate is higher during a quiz). If we assume the null hypothesis is true, of the choices below, which of these sample differences would be the least likely to occur (or, to say it another way, which would give the strongest evidence in favor of the alternative hypothesis? [2] 05510 O Left Tail O Two-Tail O Right Tailsamples = 5000mean =-0.029150std. error = 2.900125100755025-10.0-7.5-5.0-2.52.55.07.510.0null = 0

Given information: The given randomization dot-plot is based on 5000 simulated samples.

Answered: Shown below is a randomization dotplot…

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

Shown below is a randomization dotplot for sample differences in student pulse rates during a quiz versus listening to a lecture. Use the randomization dotplot to answer the questions that follow:
The randomization dotplot is based on 5000 simulated samples under the null hypothesis assumption that there is no difference in mean pulse rates during a quiz versus during a lecture. The alternative hypothesis is that the difference is greater than zero (or that the mean pulse rate is higher during a quiz).

If we assume the null hypothesis is true, of the choices below, which of these sample differences would be the least likely to occur (or, to say it another way, which would give the strongest evidence in favor of the alternative hypothesis? [2]
1. 0
2. 5
3. 5
4. 10

O Left Tail O Two-Tail O Right Tail
samples = 5000
mean =-0.029
150
std. error = 2.900
125
100
75
50
25
-10.0
-7.5
-5.0
-2.5
2.5
5.0
7.5
10.0
null = 0

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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