Answered: The data in the table below are summary…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Question

The data in the table below are summary statistics of the daily output (in tonnes) of random, independent samples of 6 copper mines in Free State, 8 copper mines in Northern Cape and 6 copper mines in Mpumalanga. Assume that the daily output of copper mines is normally distributed in all three countries.

Daily copper mine output	Free state	Northern Cape	Mpumalanga
Sample mean	501	739	779
Sample standard deviation	169	195	221

a. Perform a one-way analysis of variance (ANOVA) to determine the following: SSTr, SSE, SST, MSTr, MSE and F statistic.
b. At the 5% level, test the hypothesis that the mean daily output levels of copper mines in these three provinces are equal. (In answering this question, clearly state the null and alternative hypotheses, test statistic and critical value).
c. Use Fisher's least significant difference (LSD) procedure to determine whether: (1) the means of 6 Free State copper mines and 8 copper mines in Northern Cape differ from each other and (2) the means of 8 copper mines in Northern Cape and 6 copper mines in Mpumalanga differ from each other. Perform these pairwise comparison tests at the 5% level.

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 + ...

Expert Solution