Answered: Suppose the National Transportation…

Name: Suppose the National Transportation Safety Board (NTSB) wants to exami
Uploaded: 2024-03-20T07:07:12.000Z
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Description: Suppose the National Transportation Safety Board (NTSB) wants to examine the safety of compact cars, midsize cars, and full-size cars. It collects a sample of three for each of the car types. Each car in the sample is subjected to a crash test, and t

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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Suppose the National Transportation Safety Board (NTSB) wants to examine the safety of compact cars, midsize cars, and full-size cars. It collects a sample of three for each of the car types. Each car in the sample is subjected to a crash test, and the mean pressure applied to the driver's head is measured. Data is stored in file CrashTest. NTSB wants to test whether the mean pressure applied to the driver’s head during a crash test is equal for each type of car.

What is the response variable?

A) Each car type (compact, midsize, full-size)

B) Car type

C) Mean pressure applied to the driver’s head during a crash test

D) Safety of compact cars

What is the factor?

A) Each car type (compact, midsize, full-size)

B) Safety of compact cars

C) Car type

D) Mean pressure applied to the driver’s head during a crash test

What are the treatments?

A) Safety of compact cars

B) Each car type (compact, midsize, full-size)

C) Car type

D) Mean pressure applied to the driver’s head during a crash test

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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