(c) The following histogram summarizes the 65 residuals.Assume that the distribution of residuals is approximately normal with mean 0cm and standard deviation 5.9cm . What percent of the residuals are greater than 8cm ? Justify your answer. (d) Based on your answer to part (c), would it be surprising to randomly select a high school senior from the high school with a foot length of 20cm and a height greater than 165cm ? Justify your answer. The image features a histogram illustrating the distribution of hair length in a population. The horizontal axis represents hair length in inches, starting from 0 and increasing incrementally by 3, up to 18. The vertical axis indicates the frequency, counting the number of individuals.The data is distributed as follows:- Hair Length 0-3 inches: Frequency is 1- Hair Length 3-6 inches: Frequency is 2- Hair Length 6-9 inches: Frequency is 7- Hair Length 9-12 inches: Frequency is 15- Hair Length 12-15 inches: Frequency is 11- Hair Length 15-18 inches: Frequency is 3- Hair Length 18-21 inches: Frequency is 1The histogram's distribution pattern is approximately normal, with most individuals having hair lengths between 6 and 15 inches, peaking at the 9-12 inches range. This visualization helps in understanding the commonality and variation in hair length across the surveyed group.

Name: (c) The following histogram summarizes the 65 residuals.Assume that th
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Description: (c) The following histogram summarizes the 65 residuals.Assume that the distribution of residuals is approximately normal with mean 0cm and standard deviation 5.9cm . What percent of the residuals are greater than 8cm ? Justify your answer. (d) Based

Answered: c) The following histogram summarizes…

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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Assume that the distribution of residuals is approximately normal with mean 0cm and standard deviation 5.9cm . What percent of the residuals are greater than 8cm ? Justify your answer.

(d) Based on your answer to part (c), would it be surprising to randomly select a high school senior from the high school with a foot length of 20cm and a height greater than 165cm ? Justify your answer.

The image features a histogram illustrating the distribution of hair length in a population. The horizontal axis represents hair length in inches, starting from 0 and increasing incrementally by 3, up to 18. The vertical axis indicates the frequency, counting the number of individuals.

The data is distributed as follows:
- Hair Length 0-3 inches: Frequency is 1
- Hair Length 3-6 inches: Frequency is 2
- Hair Length 6-9 inches: Frequency is 7
- Hair Length 9-12 inches: Frequency is 15
- Hair Length 12-15 inches: Frequency is 11
- Hair Length 15-18 inches: Frequency is 3
- Hair Length 18-21 inches: Frequency is 1

The histogram's distribution pattern is approximately normal, with most individuals having hair lengths between 6 and 15 inches, peaking at the 9-12 inches range. This visualization helps in understanding the commonality and variation in hair length across the surveyed group.

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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