Listed below are the lead concentrations in μ​g/g measured in different traditional medicines. Use a 0.01 significance level to test the claim that the mean lead concentration for all such medicines...




Listed below are the lead concentrations in
μ​g/g

measured in different traditional medicines. Use a
0.01

significance level to test the claim that the mean lead concentration for all such medicines is less than
14

μ​g/g.

Assume that the sample is a simple random sample.



3.5

17

13

2.5

10

20

6.5

17

8.5

2.5




Assuming all conditions for conducting a hypothesis test are​ met, what are the null and alternative​ hypotheses?






A.



H0​:μ=14μ​g/g



H1​:μ>14μ​g/g







B.



H0​:μ>14μ​g/

H1​:μ<14μ​g>







C.



H0​:μ=14μ​g/g



H1​:μ≠14μ​g/g







D.



H0​:μ=14μ​g/g



H1​:μ<14μ​g>





Determine the test statistic.



______________

​(Round to two decimal places as​ needed.)

Determine the​ P-value.



____________

​(Round to three decimal places as​ needed.)

State the final conclusion that addresses the original claim.




(1) _____________H0. There is (2) evidence to conclude that the mean lead concentration for all such medicines is (3)________________ 14μ​g/g.







(1)



Reject OR



Fail to reject







(2)



not sufficient OR



sufficient







(3)



equal to



greater than OR



less than



not







Jun 01, 2022
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