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A scientist estimates that the mean nitrogen dioxide level in a city is greater than 32 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 11 . At =0.02, can you support the scientist's estimate? Complete parts (a) through
(e). 14411639341743203641424037293117343722301724442420393118261721 (a) Write the
claim mathematically and identify H0 and Ha. Choose from the following. A. H0:32 (claim) B.
H0:=32 (claim) C. H0:=32Ha:>32Ha:>32Ha:>32 (claim) D. H0:32 E. H0:<32 F. H0:32 (claim)
Ha:>32 (claim) Ha:32 (claim) Ha:<32 (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. z= (Round to two decimal places as needed.) (d) Decide whether to reject or fail to
reject the null hypothesis. Reject H0 Fail to reject H0
(e) Interpret the decision in the context of the original claim. At the 2% significance level, there
enough evidence to the scientist's claim that the mean nitrogen dioxide level in the city is greater
than 32 parts per billion.

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A scientist estimates that the mean nitrogen dioxide level in a city .pdf

  • 1. A scientist estimates that the mean nitrogen dioxide level in a city is greater than 32 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 11 . At =0.02, can you support the scientist's estimate? Complete parts (a) through (e). 14411639341743203641424037293117343722301724442420393118261721 (a) Write the claim mathematically and identify H0 and Ha. Choose from the following. A. H0:32 (claim) B. H0:=32 (claim) C. H0:=32Ha:>32Ha:>32Ha:>32 (claim) D. H0:32 E. H0:<32 F. H0:32 (claim) Ha:>32 (claim) Ha:32 (claim) Ha:<32 (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. z= (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. Reject H0 Fail to reject H0 (e) Interpret the decision in the context of the original claim. At the 2% significance level, there enough evidence to the scientist's claim that the mean nitrogen dioxide level in the city is greater than 32 parts per billion.