Listed in the data table are amounts of​ strontium-90 (in​ millibecquerels, or​ mBq, per gram of​ calcium) in a simple random sample of baby teeth obtained from residents in two cities. Assume that...





Listed in the data table are amounts of​ strontium-90 (in​ millibecquerels, or​ mBq, per gram of​ calcium) in a simple random sample of baby teeth obtained from residents in two cities. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Use a
0.05significance level to test the claim that the mean amount of​ strontium-90 from city​ #1 residents is greater than the mean amount from city​ #2 residents.


The chart for the data table of strontium is below.




What are the null and alternative​ hypotheses? Assume that population 1 consists of amounts from city​ #1 levels and population 2 consists of amounts from city​ #2.






A.
H0​:

μ1≤μ2



H1​: μ1>μ2







B.
H0​:

μ1=μ2



H1​: μ1>μ2







C.
H0​:

μ1=μ2



H1​: μ1≠μ2







D.
H0​:

μ1≠μ2



H1​: μ1>μ2





The test statistic is

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

The​ P-value is

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

State the conclusion for the test.






A.
Reject
the null hypothesis. There
is
sufficient evidence to support the claim that the mean amount of​ strontium-90 from city​ #1 residents is greater.





B.
Fail to reject
the null hypothesis. There
is
sufficient evidence to support the claim that the mean amount of​ strontium-90 from city​ #1 residents is greater.





C.
Reject
the null hypothesis. There
is not
sufficient evidence to support the claim that the mean amount of​ strontium-90 from city​ #1 residents is greater.





D.
Fail to reject
the null hypothesis. There
is not
sufficient evidence to support the claim that the mean amount of​ strontium-90 from city​ #1 residents is greater.








More Info


















































































City #1


City #2




100


117




86


95




121


100




114


85




101


90




104


107




213


110




101


111




290


108




100


133




270


101




145


209









Jun 09, 2022
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