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Name: A survey on student behavior in some major College in Oman asked a ran
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Description: A survey on student behavior in some major College in Oman asked a randomly selected group of 300 students on the number of hours a week he/she reads a newspaper. The sample mean was 4.5 and standard deviation 2.9. We can assume that the underlying d

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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A survey on student behavior in some major College in Oman asked a randomly selected group of 300 students on the number of hours a week he/she reads a newspaper. The sample mean was 4.5 and standard deviation 2.9. We can assume that the underlying distribution of number of hours reading newspaper is approximately normal. What will be a 95% confidence interval of the population mean number of hours a College student read newspapers per week ? Interpret the same. Suppose you perform a similar survey at CAS, Nizwa with 35 randomly selected students; the sample mean and sample standard deviation were 5.1 and 2.6 respectively. What will be a 95% confidence interval of the population mean number of hours an CAS, Nizwa student read newspapers per week ? Interpret the interval in the context of the problem.

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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