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Name: (i)The 95% Confidence Interval for an unknown population mean is calcu
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Description: (i)The 95% Confidence Interval for an unknown population mean is calculated using a sample size of 64 and is presented as (273, 663). Determine the sample mean and the population standard deviation.(ii) Two students, A and B, from different countries

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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(i)The 95% Confidence Interval for an unknown population mean is calculated using a sample size of 64 and is presented as (273, 663). Determine the sample mean and the population standard deviation.

(ii) Two students, A and B, from different countries take a similar, though not identical, psychometric test. The test also has a different marking scheme. Below are the student marks, country mean and country standard deviation of marks. Which student did best in their country and why? Explain your answer.

Student in
Student mark
country u
country o
country
A
2.85
3.0
0.7
В
77
80
10

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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The psychometric test in country B is also used as part of a company’s graduate recruitment process. The company wants to set a cut off mark so only the top 8% of applicants pass the test. What should the mark be set at?

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