A scientist estimates that the mean nitrogen dioxide level in a city is greater than 29 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 31 22 34 37 24 14 14 35 42 25 34 that the population standard deviation is 7. At a = 0.02, can you support the scientist's estimate? Complete parts (a) through (e). 32 32 27 43 27 44 20 44 40 39 27 20 31 24 14 44 44 16 16 26 (a) Write the claim mathematically and identify Ho and Ha. Choose from the following. O A. Ho: H= 29 О В. Но: и<29 OC. Ho:H2 29 (claim) Ha: u> 29 (claim) Ha: H2 29 (claim) Hai H<29 O F. Ho: HS 29 O D. Ho: Hs29 (claim) Ha:u> 29 O E. Ho: H=29 (claim) Ha: µ> 29 Ha: u> 29 (claim) (b) Find the critical value and identify the rejection region. Zo = |(Round to two decimal places as needed.) Rejection region: zV (c) Find the standardized test statistic. z= (Round to two decimal places as needed.)

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A scientist estimates that the mean nitrogen dioxide level in a city is greater than 29 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 31 22 34 37 24 14 14 35 42 25 34
that the population standard deviation is 7. At a = 0.02, can you support the scientist's estimate? Complete parts (a) through (e).
32 32 27 43 27 44 20 44 40 39 27
20 31 24 14 44 44 16 16 26
(a) Write the claim mathematically and identify Ho and Ha. Choose from the following.
O A. Ho: H= 29
О В. Но: и<29
OC. Ho:H2 29 (claim)
Ha: u> 29 (claim)
Ha: H2 29 (claim)
Hai H<29
O F. Ho: HS 29
O D. Ho: Hs29 (claim)
Ha:u> 29
O E. Ho: H=29 (claim)
Ha: µ> 29
Ha: u> 29 (claim)
(b) Find the critical value and identify the rejection region.
Zo = |(Round to two decimal places as needed.)
Rejection region: zV
(c) Find the standardized test statistic.
z= (Round to two decimal places as needed.)
Transcribed Image Text:A scientist estimates that the mean nitrogen dioxide level in a city is greater than 29 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 31 22 34 37 24 14 14 35 42 25 34 that the population standard deviation is 7. At a = 0.02, can you support the scientist's estimate? Complete parts (a) through (e). 32 32 27 43 27 44 20 44 40 39 27 20 31 24 14 44 44 16 16 26 (a) Write the claim mathematically and identify Ho and Ha. Choose from the following. O A. Ho: H= 29 О В. Но: и<29 OC. Ho:H2 29 (claim) Ha: u> 29 (claim) Ha: H2 29 (claim) Hai H<29 O F. Ho: HS 29 O D. Ho: Hs29 (claim) Ha:u> 29 O E. Ho: H=29 (claim) Ha: µ> 29 Ha: u> 29 (claim) (b) Find the critical value and identify the rejection region. Zo = |(Round to two decimal places as needed.) Rejection region: zV (c) Find the standardized test statistic. z= (Round to two decimal places as needed.)
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