A scientist estimates that the mean nitrogen dioxide level in a city is greater than 34 parts per billion. To test this​ estimate, you determine the nitrogen dioxide levels for 31 randomly selected days. The results​ (in parts per​ billion) are listed to the right. Assume that the population standard deviation is 8. At α=0.03​, can you support the​ scientist's estimate? Complete parts​ (a) through​ (e).

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A scientist estimates that the mean nitrogen dioxide level in a city is greater than 34 parts per billion. To test this​ estimate, you determine the nitrogen dioxide levels for 31 randomly selected days. The results​ (in parts per​ billion) are listed to the right. Assume that the population standard deviation is 8. At α=0.03​, can you support the​ scientist's estimate? Complete parts​ (a) through​ (e).

14
24
43
32
28
43
40
32
18
36
30
17
17
19
36
43
39
26
20
19
44
23
44
39
30
28
41
33
15
42
22

 

At α=0.03, can you support the​ scientist's estimate? Complete parts​ (a) through​ (e).

 

(b) Find the critical value and identify the rejection region.
 
z0=
​(Round to two decimal places as​ needed.)
 
Rejection​ region:
z
​(c) Find the standardized test statistic.
 
​(d) Decide whether to reject or fail to reject the null hypothesis.
 
At the 3% significance​ level, there is __________ evidence to
________ the​ scientist's claim that the mean nitrogen dioxide level in the city is greater than 34 parts per billion.
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