Answered: Eighteen packets of Dangote Cement had…

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

c) Eighteen packets of Dangote Cement had their contents measured for weight. The markings on the packets indicated that the weights were 150 kilograms each. The measured weights are as shown below:

150.2kg 149.5kg 150.0kg 149.5kg 150.2kg 149.5kg 150.0kg 148.8kg

i. Calculate and estimate:

A. The population mean and,

B. The population standard deviation of all the cement of the Dangote

brand.

ii.Construct a 99% confidence interval of the mean weight of the Dangote cement.

iii. Test the hypothesis that the mean weight of a packet of Dangote cement is

150kg at 5% level of significance.

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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