How is the confidence interval and the point estimate for the population mean visually shown?How was a confidence interval that did NOT capture the population mean visually shown? How often would we expect this to occur? Successes: 20 Failures: 15SHOW CALCULATIONS406080100120140160180Individual fish length (mm)AFrequencyترا1O20Success rate: 95.2%The true mean is 105.200 Frequency543تنا210L0Successes: 1 Failures: 0SHOW CALCULATIONS406080100120140160180Individual fish length (mm)20Success rate: 100%The true mean is 105.200

The objective is to make appropriate inferences about the mean confidence interval and the point…

Answered: 10 Frequency N 3 1 0 L 0 Successes: 20…

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter11: Data Analysis And Displays

Section: Chapter Questions

Problem 6CR

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How is the confidence interval and the point estimate for the population mean visually shown?
How was a confidence interval that did NOT capture the population mean visually shown? How often would we expect this to occur?

Successes: 20 Failures: 1
5
SHOW CALCULATIONS
40
60
80
100
120
140
160
180
Individual fish length (mm)
A
Frequency
ترا
1
O
20
Success rate: 95.2%
The true mean is 105.
200

Frequency
5
4
3
تنا
2
1
0
L
0
Successes: 1 Failures: 0
SHOW CALCULATIONS
40
60
80
100
120
140
160
180
Individual fish length (mm)
20
Success rate: 100%
The true mean is 105.
200

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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