A scientist estimates that the mean nitrogen dioxide level in a city is greater than 31 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 7. At a=0.01, can you support the s Complete parts (e). Com (a) Write the claim mathematically and identify Ho and H₂. Choose from the following. OA. Ho: H=31 OB. Ho: 531 H₂: > 31 (claim) Ha: 31 (claim) OC. Ho: 31 (claim) H₂>31 OD. Ho: us31 (claim) OE. Ho: 231 (claim) OF. Ho: <31 H₂: H> 31 H₂H<31 H₂:231 (claim) (b) Find the critical value and identify the rejection region. Zo" (Round to two decimal places needed.) Rejection region: z (c) Find the standardized test statistic. z=(Round to two decimal places as needed.) or fail to relect the pull hupothari 21 43 40 28 19 28 36 14 19 40 44 36 25 27 16 30 40 42 23 17 35 25 34 32 38 30 32 19 24 25 28
A scientist estimates that the mean nitrogen dioxide level in a city is greater than 31 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 7. At a=0.01, can you support the s Complete parts (e). Com (a) Write the claim mathematically and identify Ho and H₂. Choose from the following. OA. Ho: H=31 OB. Ho: 531 H₂: > 31 (claim) Ha: 31 (claim) OC. Ho: 31 (claim) H₂>31 OD. Ho: us31 (claim) OE. Ho: 231 (claim) OF. Ho: <31 H₂: H> 31 H₂H<31 H₂:231 (claim) (b) Find the critical value and identify the rejection region. Zo" (Round to two decimal places needed.) Rejection region: z (c) Find the standardized test statistic. z=(Round to two decimal places as needed.) or fail to relect the pull hupothari 21 43 40 28 19 28 36 14 19 40 44 36 25 27 16 30 40 42 23 17 35 25 34 32 38 30 32 19 24 25 28
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter2: Exponential, Logarithmic, And Trigonometric Functions
Section2.CR: Chapter 2 Review
Problem 111CR: Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data...
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Transcribed Image Text:A scientist estimates that the mean nitrogen dioxide level in a city is greater than 31 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 7. At
α = 0.01, can you support the scientist's estimate? Complete parts (a) through (e).
C
(a) Write the claim mathematically and identify Ho and H₂. Choose from the following.
OA. Ho: H=31
OB. Ho: μ≤31
Ha: μ>31 (claim)
Ha: μ> 31 (claim)
O C. Ho: μ=31 (claim)
Ha: μ>31
OF. Ho: <31
O D. Ho: ≤31 (claim)
O E. Ho: 231 (claim)
H₂:μ>31
H₂: μ<31
Ha: μ231 (claim)
(b) Find the critical value and identify the rejection region.
Zo =
(Round to two decimal places as needed.)
Rejection region: z
(c) Find the standardized test statistic.
z =
(Round to two decimal places as needed.)
(d) Decide whether to reject or fail to reject the null hypothesis.
O Fail to reject Ho
O Reject Ho
(e) Interpret the decision in the context of the original claim.
At the 1% significance level, there
enough evidence to
the scientist's claim that the mean nitrogen dioxide level in the city is greater than 31 parts per billion.
e
21 43 40 28 19 28 36 14 19 40 44
36 25 27 16 30 40 42 23 17 35 25
34 32 38 30 32 19 24 25 28
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