Answered: Suppose, you work with the Quality…

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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Question

Suppose, you work with the Quality Assurance Team of a Biscuit Company, and a customer complains that the mean weight of the biscuit packet you are selling is less than 250 gm when you have claimed it to be of weight 250 gm in the packet. To test the customer's claim, you sampled 25 biscuit packets and measured their weights.

Let be the hypothesized mean weight of a biscuit packet that your company claims, and the null and alternative hypotheses have been formulated as:

At a 5% level of significance (), what will be the conclusion from a one-sample t-test (assuming that all the assumptions of the test are satisfied) if you obtain a p-value of 0.023?

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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