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Name: Aircrew escape systems are powered by solid propellant. The burning ra
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Description: Aircrew escape systems are powered by solid propellant. The burning rate of this propellant is an important product characteristic. Specifications required that the mean burning rate must be 50 centimeters per second. It has been known that the stand

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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Aircrew escape systems are powered by solid propellant. The burning rate of this propellant is an important product characteristic. Specifications required that the mean burning rate must be 50 centimeters per second. It has been known that the standard deviation of burning rates is 2 centimeters per second. The experimenter decides to specify a type I error probability or significance level of 0.05 and selects a random sample of 25 and obtains a sample mean burning rate of 51.3 centimeters per second. Perform a hypothesis test to determine if the mean burning rate of the propellant is significantly different from the specified value. What is the Null Hypothesis and Alternative Hypothesis.

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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