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. She finds that the sample mean is 5.31 minutes, with a standard deviation of 2.5 minutes. Does t sample evidence support the inspection station's claim? Use the a = 0.10 level of significance to test the advertised claim that the wait time is less than 6 minutes. What are the hypotheses for this test? Ho: minutes H1: minutes (Type an integer or a decimal.) What is the value of the test statistic? (Round to two decimal places as needed.) What is the P-value? P-value = (Round to three decimal places as needed.) Use the a = 0.10 level of significance to test the advertised claim. Since the P-value is V than a, V the null hypothesis. There V sufficient evidence to conclude that the mean wait time is less than 6 minutes.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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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. She finds that the sample mean is 5.31 minutes, with a standard deviation of 2.5 minutes. Does t
sample evidence support the inspection station's claim? Use the a = 0.10 level of significance to test the advertised claim that the wait time is less than 6 minutes.
What are the hypotheses for this test?
Ho:
minutes
H1:
(Type an integer or a decimal.)
minutes
What is the value of the test statistic?
(Round to two decimal places as needed.)
What is the P-value?
P-value =
(Round to three decimal places as needed.)
Use the a = 0.10 level of significance to test the advertised claim.
Since the P-value is
V than a,
V the null hypothesis. There
V sufficient evidence to conclude that the mean wait time is less than 6 minutes.
In other words, the evidence
V the advertised claim.
Transcribed Image Text: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. She finds that the sample mean is 5.31 minutes, with a standard deviation of 2.5 minutes. Does t sample evidence support the inspection station's claim? Use the a = 0.10 level of significance to test the advertised claim that the wait time is less than 6 minutes. What are the hypotheses for this test? Ho: minutes H1: (Type an integer or a decimal.) minutes What is the value of the test statistic? (Round to two decimal places as needed.) What is the P-value? P-value = (Round to three decimal places as needed.) Use the a = 0.10 level of significance to test the advertised claim. Since the P-value is V than a, V the null hypothesis. There V sufficient evidence to conclude that the mean wait time is less than 6 minutes. In other words, the evidence V the advertised claim.
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