A certain vehicle emission inspection station advertises that the wait time for customers is less than6minutes. A local resident wants to test this claim and collects a random sample of64wait times for customers at the testing station.Hefinds that the sample mean is5.51minutes, with a standard deviation of2.3minutes. Does the sample evidence support the inspection station's claim? Use theα=0.005level of significance to test the advertised claim that the wait time is less than6minutes.What are the hypotheses for this test? H0:▼ muμppsigmaσ▼ greater than>not equals≠less than<equals=nothingminutesH1:▼ sigmaσmuμpp▼ less than<greater than>not equals≠equals=nothingminutes(Type an integer or a decimal.)What is the value of the test statistic? ▼ t 0t0z 0z0=nothing(Round to two decimal places as needed.)What is the P-value? P-value=nothing(Round to three decimal places as needed.)Use theα=0.005level of significance to test the advertised claim. Since the P-value is▼ greaterlessthanα,▼ do not rejectrejectthe null hypothesis. There▼ is notissufficient evidence to conclude that the mean wait time is less than6minutes. In other words, the evidence▼ supportsdoes not supportthe advertised claim.

Name: A certain vehicle emission inspection station advertises that the wait
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Description: A certain vehicle emission inspection station advertises that the wait time for customers is less than6minutes. A local resident wants to test this claim and collects a random sample of64wait times for customers at the testing station.Hefinds that th

Let μ denotes the population mean wait time for customers. The claim of the test is that the the…

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

minutes. A local resident wants to test this claim and collects a random sample of

wait times for customers at the testing station.

finds that the sample mean is

5.51

minutes, with a standard deviation of

2.3

minutes. Does the sample evidence support the inspection station's claim? Use the

α=0.005

level of significance to test the advertised claim that the wait time is less than

minutes.

What are the hypotheses for this test?

H0:

▼

muμ

sigmaσ

▼

greater than>

not equals≠

less than<

equals=

nothing

minutes

H1:

▼

sigmaσ

muμ

▼

less than<

greater than>

not equals≠

equals=

nothing

minutes

(Type an integer or a decimal.)

What is the value of the test statistic?

▼

t 0t0

z 0z0

=nothing

(Round to two decimal places as needed.)

What is the P-value?

P-value=nothing

(Round to three decimal places as needed.)

Use the

α=0.005

level of significance to test the advertised claim.

Since the P-value is

▼

greater

less

than

α,

▼

do not reject

reject

the null hypothesis. There

▼

is not

sufficient evidence to conclude that the mean wait time is less than

minutes. In other words, the evidence

▼

supports

does not support

the advertised claim.

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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