Look at the picture to anwer these questions: How many samples are included in the dotplot? What is the sample’s mean? StatKeyBootstrap Dotplot of Mean50403020Confidence Interval for a MeanO Left Tail Two-Tail Right Tail1006570.........758080.14485samples=480mean = 80.144std. error 4.10590Original Samplen = 10, mean = 80median = 80, stdev = 14.14215105015480Bootstrap Samplen = 10, mean = 87median = 85, stdev = 10.59310505060:7050 60•:9070 80 9087100100

Answered: ook at the picture to anwer these…

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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Look at the picture to anwer these questions: How many samples are included in the dotplot? What is the sample’s mean?

StatKey
Bootstrap Dotplot of Mean
50
40
30
20
Confidence Interval for a Mean
O Left Tail Two-Tail Right Tail
10
0
65
70
......
...
75
80
80.144
85
samples=480
mean = 80.144
std. error 4.105
90
Original Sample
n = 10, mean = 80
median = 80, stdev = 14.142
15
10
5
0
15
4
80
Bootstrap Sample
n = 10, mean = 87
median = 85, stdev = 10.593
10
5
0
50
60
:
70
50 60
•
:
90
70 80 90
87
100
100

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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