Answered: Q1) Marks in subject A are scaled to…

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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Q1)

Marks in subject A are scaled to have a normal distribution. The marks obtained by a sample of 8 students in the exam for this subject have mean 54 and standard deviation of 9.1.

The marks obtained by a different sample of 8 students, in the same exam, have mean 59 and standard deviation 7.7.
The value of the pooled standard deviation is 8.42912.

The absolute value of the test statistic for comparing means is ________ (2 dp)

Q2)Marks in two subjects, A and B, are scaled to have a normal distribution.
The marks obtained by 8 students in exam A have mean 60.
The marks obtained by the same 8 students in exam B have mean 68.
The standard deviation of the differences in their marks is 7.5.

The absolute value of the test statistic for comparing means is _____ (2 dp)

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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