Listed below are the lead concentrations​ (in μg/g​) measured in different Ayurveda medicines. Ayurveda is a traditional medical system commonly used in India. The lead concentrations listed here are from medicines manufactured in the United States. Assume that a simple random sample has been selected. Use a 0.05 significance level to test the claim that the mean lead concentration for all such medicines is less than 14.0 μg/g.   3.04 6.49 5.98 5.47 20.50 7.54 11.96 20.50 11.48 17.52         Question content area bottom Part 1 Identify the null and alternative hypotheses.   H0​: ▼   sigmaσ pp muμ ▼   less than< not equals≠ greater than> equals= enter your response here H1​: ▼   muμ pp sigmaσ ▼   not equals≠ equals= greater than> less than< enter your response here ​(Type integers or decimals. Do not​ round.) Part 2 Identify the test statistic.   enter your response here ​(Round to two decimal places as​ needed.) Part 3 Identify the​ P-value.   enter your response here ​(Round to three decimal places as​ needed.) Part 4 State the conclusion about the null​ hypothesis, as well as the final conclusion that addresses the original claim.   ▼   Reject Accept Fail to reject the null hypothesis. There ▼   is not is sufficient evidence at the 0.05 significance level to ▼   warrant rejection of support the claim that the mean lead concentration for all Ayurveda medicines manufactured in the United States is less than 14.0 μg/g.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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Listed below are the lead concentrations​ (in
μg/g​)
measured in different Ayurveda medicines. Ayurveda is a traditional medical system commonly used in India. The lead concentrations listed here are from medicines manufactured in the United States. Assume that a simple random sample has been selected. Use a
0.05
significance level to test the claim that the mean lead concentration for all such medicines is less than
14.0
μg/g.
 
3.04
6.49
5.98
5.47
20.50
7.54
11.96
20.50
11.48
17.52
 
 
 
 

Question content area bottom

Part 1
Identify the null and alternative hypotheses.
 
H0​:
 
sigmaσ
pp
muμ
 
less than<
not equals≠
greater than>
equals=
enter your response here
H1​:
 
muμ
pp
sigmaσ
 
not equals≠
equals=
greater than>
less than<
enter your response here
​(Type integers or decimals. Do not​ round.)
Part 2
Identify the test statistic.
 
enter your response here
​(Round to two decimal places as​ needed.)
Part 3
Identify the​ P-value.
 
enter your response here
​(Round to three decimal places as​ needed.)
Part 4
State the conclusion about the null​ hypothesis, as well as the final conclusion that addresses the original claim.
 
 
Reject
Accept
Fail to reject
the null hypothesis. There
 
is not
is
sufficient evidence at the
0.05
significance level to
 
warrant rejection of
support
the claim that the mean lead concentration for all Ayurveda medicines manufactured in the United States is less than
14.0
μg/g.
 
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