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Name: USE 3 DECIMAL A producer claims that his potato chips weight is at lea
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Description: USE 3 DECIMAL A producer claims that his potato chips weight is at least 150 grams. The weight of the bag has a normal distribution with mean 150 grams and standard deviation of 4 grams. The manager tries to test night shift production weight is heav

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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USE 3 DECIMAL A producer claims that his potato chips weight is at least 150 grams. The weight of the bag has a normal distribution with mean 150 grams and standard deviation of 4 grams. The manager tries to test night shift production weight is heavier that day shift. Because of the complaints of the customers, quality control department select randomly 19 bags from the daily shift and find the mean as 146 grams and variance 9 grams and randomly selected 21 bags from the night shift and find the mean as 148 grams and variance 8 grams. If manager want to test the claim as night shift mean weight of the product is bigger than that of day shift at 1% level of significance . Calculate the test statistics. (H 1 : mu night shift > mu day shift).

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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