Test a claim that the mean amount of lead in the air in U.S. cities is less than 0.036 microgram per cubic meter. It was found that the mean amount of lead in the air for the random sample of 57 U.S. cities is

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Author:Amos Gilat
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Test a claim that the mean amount of lead in the air in U.S. cities is less than
0.036
microgram per cubic meter. It was found that the mean amount of lead in the air for the random sample of
57
U.S. cities is
0.039
microgram per cubic meter and the standard deviation is
0.067
microgram per cubic meter. At
α=0.10​,
can the claim be​ supported? Complete parts​ (a) through​ (e) below. Assume the population is normally distributed.
 
 
 

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Part 1
​(a) Identify the claim and state
H0
and
Ha.
 
H0: 
 
pp
muμ
sigma squaredσ2
sigmaσ
 
not equals≠
greater than>
less than or equals≤
less than<
equals=
greater than or equals≥
enter your response here
Ha: 
 
muμ
sigma squaredσ2
pp
sigmaσ
 
not equals≠
equals=
greater than or equals≥
greater than>
less than or equals≤
less than<
enter your response here
​(Type integers or decimals. Do not​ round.)
 
The claim is the
 
null
alternative
hypothesis.
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