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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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Apply the 6 steps in hypothesis testing:

1. Formulate the ?0 and ??
2. Choose test statistic (such as z- test, t- test, or F-test)
3. Determine the critical region/ rejection region
4. Calculate the test statistic
5. Provide statistical decision (Reject/ or not to reject ?0)
6. Make an interpretation and if possible, draw conclusion.

With individual lines at its various windows, a bank finds that the mean waiting time and the standard deviation for normally distributed waiting times on Monday mornings is 26.7 minutes and 6.2 min, respectively. The bank experimented with a single main waiting line and finds that for a random sample of 35 customers, the waiting times have a mean of 28 minutes. At the, test the claim that a single line causes higher mean waiting time among the waiting lines.

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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