Answered: ABILITY Multiple Choice! No long…

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

STATISTICS AND PROBABILITY

Multiple Choice! No long explaantion needed. THUMBS-UP will be given!

A Philippine labor group wishes to know if the mean income of managers in the retail industry is still at 40,000 pesos per month. Based from previous data, the income of managers in the retail industry is normally distributed with a standard deviation of 5,000 pesos per month. A random sample of 23 managers reveals a sample mean of 42,400 pesos.

D. Can the labor group claim that the mean income of managers in the retail industry is still at 40,000 pesos per month?

a.Yes, since 40000 is not inside the computed confidence interval estimate.

b.Yes, since 40000 is inside the computed confidence interval estimate.

c.No, since 40000 is not inside the computed confidence interval estimate.

d. No, since 40000 is inside the computed confidence interval estimate.

E. How large a sample is needed if we want to be 98% confident that our estimate of the true mean life span of the batteries is not off by more than 2,000 pesos?

a.40

b.42

c.25

d.34

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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