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Name: . The National Aeronautics and Space Administration (NASA) buys bolts
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Description: . The National Aeronautics and Space Administration (NASA) buys bolts from two suppliers, and it is very important the mean widths of the bolts received from both suppliers are equal since they must be used interchangeably. NASA receives a large sh

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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. The National Aeronautics and Space Administration (NASA) buys bolts from two suppliers, and it is very important the mean widths of the bolts received from both suppliers are equal since they must be used interchangeably. NASA receives a large shipment of bolts from each supplier, and draws a random sample of 49 bolts from each shipment. It wants to test whether the mean width is the same in both shipments. Suppose that NASA finds the mean width of the bolts taken from one shipment is 1.14 inches, and that the mean width of the bolts taken from the other shipment is 1.09 inches. From past experience it is known that the population standard deviation of the widths from the first supplier is .09 inches and from the second supplier is .11 inches.

What is the null hypothesis?
What is the alternative hypothesis?
What distribution are you using?
What test are you running?
What is your conclusion?

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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