Answered: A certain vehicle emission inspection…

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 certain vehicle emission inspection station advertises that the wait time for customers is less than 66minutes. A local resident wants to test this claim and collects a random sample of 64 wait times for customers at the testing station.She
finds that the sample mean is 5.41
minutes, with a standard deviation of 2.5
minutes. Does the sample evidence support the inspection station's claim? Use the alphaαequal0.005
level of significance to test the advertised claim that the wait time is less than 66 minutes. What are the hypotheses for this test? Upper H0:

muμ equals= 66 minutes

Upper H1: mu less than<66 minutes

(Type an integer or a decimal.)

What is the value of the test statistic?

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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