Answered: Pick the correct asnwer and give bried…

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

Pick the correct asnwer and give bried explaination

a. A sample of n = 25 is taken from a population with mean =µ, then the mean of all possible sample averages (ẍ) is....

not always the same as µ
smaller than µ
bigger than µ
equal to µ

b. In order to increase its sales, a company has improved its business processes. To test that sales have increased, a Statistical Test was conducted. If µ1 represents the average production before the business improvement and µ2 is the average production after the business improvement process, which Alternative Hypothesis is correct to use for the test?

Ha : µ1- µ2 <= 0
Ha : µ1- µ2 not equal to 0
Ha : µ1- µ2 <0
Ha : µ1- µ2 > 0

c. A bank manager claims that there has been a change in the waiting time to be served by customer services. Previously, the average waiting time was 15 minutes. The manager's statement can be written in the form of a null hypothesis and its alternatives as follows

H0 : µ =15 vs H1: µ<15
H0 : µ =15 vs H1: µ>15
H0 : µ=15 vs H1: µ>15
H0 : µ =15 vs H1: µ ≠15

I make it as one question because its have simple answer

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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