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13.  Test a claim that the mean amount of carbon monoxide in the air in U.S. cities is less than 2.31 parts per million. It was found that the mean amount of carbon monoxide in the air for the random sample of 65 cities is 2.37 parts per million and the standard deviation is 2.12 parts per million. At α=0.10​, can the claim be​ supported? Complete parts​ (a) through​ (e) below. Assume the population is normally distributed.       Question content area bottom Part 1 ​(a) Identify the claim and state H0 and Ha. Which of the following correctly states H0 and Ha​?   H0:  muμ   greater than or equals≥   2.31   2.31 Ha:  muμ   less than<   2.31   2.31 ​(Type integers or decimals. Do not​ round.)   The claim is the alternative   hypothesis. Part 2 ​(b) Use technology to find the critical​ value(s) and identify the rejection​ region(s).   The critical​ value(s) is/are t0=negative 1.30   −1.30. ​(Use a comma to separate answers as needed. Round to two decimal places as​ needed.) Part 3 Choose the graph which

13.  Test a claim that the mean amount of carbon monoxide in the air in U.S. cities is less than 2.31 parts per million. It was found that the mean amount of carbon monoxide in the air for the random sample of 65 cities is 2.37 parts per million and the standard deviation is 2.12 parts per million. At α=0.10​, can the claim be​ supported? Complete parts​ (a) through​ (e) below. Assume the population is normally distributed.       Question content area bottom Part 1 ​(a) Identify the claim and state H0 and Ha. Which of the following correctly states H0 and Ha​?   H0:  muμ   greater than or equals≥   2.31   2.31 Ha:  muμ   less than<   2.31   2.31 ​(Type integers or decimals. Do not​ round.)   The claim is the alternative   hypothesis. Part 2 ​(b) Use technology to find the critical​ value(s) and identify the rejection​ region(s).   The critical​ value(s) is/are t0=negative 1.30   −1.30. ​(Use a comma to separate answers as needed. Round to two decimal places as​ needed.) Part 3 Choose the graph which

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
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13. 

Test a claim that the mean amount of carbon monoxide in the air in U.S. cities is less than
2.31
parts per million. It was found that the mean amount of carbon monoxide in the air for the random sample of
65
cities is
2.37
parts per million and the standard deviation is
2.12
parts per million. At
α=0.10​,
can the claim be​ supported? Complete parts​ (a) through​ (e) below. Assume the population is normally distributed.
 
 
 

Question content area bottom

Part 1
​(a) Identify the claim and state
H0
and
Ha.
Which of the following correctly states
H0
and
Ha​?
 
H0: 
muμ
 
greater than or equals≥
 
2.31
 
2.31
Ha: 
muμ
 
less than<
 
2.31
 
2.31
​(Type integers or decimals. Do not​ round.)
 
The claim is the
alternative
 
hypothesis.
Part 2
​(b) Use technology to find the critical​ value(s) and identify the rejection​ region(s).
 
The critical​ value(s) is/are
t0=negative 1.30
 
−1.30.
​(Use a comma to separate answers as needed. Round to two decimal places as​ needed.)
Part 3
Choose the graph which shows the rejection region.
 
 
A.
 
 
 
 
 
 
 
 
 
 
 
 
   0     -44t
−t0
t0
t<−t0, t>t0
 
  •  
  •  
  •  
A graph labeled t less than negative t 0, t greater than t 0 has a horizontal t-axis labeled from negative 4 to 4 in increments of 4. A symmetric bell shaped t-distribution curve is above the t-axis and centered on 0. Two vertical line segments extend from the curve to the t-axis at the points labeled negative t 0 and t 0, where t 0 is to the right of 0. The areas under the curve to the left of negative t 0 and to the right of t 0 are shaded.
 
B.
 
 
 
 
 
 
 
 
 
 
-4  0  4   t
t0
t>t0
 
  •  
  •  
  •  
A graph labeled t greater than t 0 has a horizontal t-axis labeled from negative 4 to 4 in increments of 4. A symmetric bell shaped t-distribution curve is above the t-axis and centered on 0. A vertical line segment extends from the curve to the t-axis at a point labeled t 0, where t 0 is to the right of 0. The area under the curve to the right of t 0 is shaded.
 
C.
 
 
 
 
 
 
 
 
 
 
 
 
 
   0     -44t
−t0
t0
−t0<t<t0
 
  •  
  •  
  •  
A graph labeled negative t 0 less than t less than t 0 has a horizontal t-axis labeled from negative 4 to 4 in increments of 4. A symmetric bell shaped t-distribution curve is above the t-axis and centered on 0. Two vertical line segments extend from the curve to the t-axis at the points labeled negative t 0 and t 0, where t 0 is to the right of 0. The area under the curve between negative t 0 and t 0 is shaded.
 
D.
 
 
 
 
 
 
 
 
 
 
-4  0  4   t
t0
t<t0
 
  •  
  •  
  •  
A graph labeled t less than t 0 has a horizontal t-axis labeled from negative 4 to 4 in increments of 4. A symmetric bell shaped t-distribution curve is above the t-axis and centered on 0. A vertical line segment extends from the curve to the t-axis at a point labeled t 0, where t 0 is to the left of 0. The area under the curve to the left of t 0 is shaded.
Your answer is correct.
Part 4
​(c) Find the standardized test​ statistic, t.
 
The standardized test statistic is
t=0.23
 
0.23.
​(Round to two decimal places as​ needed.)
Part 5
​(d) Decide whether to reject or fail to reject the null hypothesis.
 
Fail to reject
 
H0
because the standardized test statistic
is not
 
in the rejection region.
Part 6
​(e) Interpret the decision in the context of the original claim.
 
There
▼
 
is not
is
enough evidence at the
enter your response here
 
​%
level of significance to
▼
 
rejectreject
supportsupport
the claim that the mean amount of carbon monoxide in the air in U.S. cities is
▼
 
equal
less than
greater than or equal
greater than
not equal
less than or equal
enter your response here
 
parts per million.
​(Type integers or decimals. Do not​ round.)
 
 
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