A certain vehicle emission inspection station advertises that the wait time for customers is less than 6 minutes. A local resident wants to test this claim and collects a random sample of 64 wait times for customers at the testing station. He 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 6 minutes.
A certain vehicle emission inspection station advertises that the wait time for customers is less than 6 minutes. A local resident wants to test this claim and collects a random sample of 64 wait times for customers at the testing station. He 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 6 minutes.
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
A certain vehicle emission inspection station advertises that the wait time for customers is less than
6
minutes. A local resident wants to test this claim and collects a random sample of
64
wait times for customers at the testing station.
He
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
6
minutes.What are the hypotheses for this test?
H0:
▼
muμ
pp
sigmaσ
▼
greater than>
not equals≠
less than<
equals=
H1:
▼
sigmaσ
muμ
pp
▼
less than<
greater than>
not equals≠
equals=
(Type an integer or a decimal.)
What is the value of the test statistic?
▼
t 0t0
z 0z0
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
than
the null hypothesis. There
sufficient evidence to conclude that the mean wait time is less than
the advertised claim.
▼
greater
less
α,
▼
do not reject
reject
▼
is not
is
6
minutes. In other words, the evidence
▼
supports
does not support
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