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

MATLAB: An Introduction with Applications
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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: 
muμ
 
greater than or equals≥
 
0.0360.036
Ha: 
muμ
 
less than<
 
0.0360.036
​(Type integers or decimals. Do not​ round.)
 
The claim is the
alternative
 
hypothesis.
Part 2
​(b) Find the critical​ value(s) and identify the rejection​ region(s).
 
The critical​ value(s) is/are
t0=enter your response here.
​(Use a comma to separate answers as needed. Round to two decimal places as​ needed.)
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