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Ascientist estimates that the mean nitrogen dioxide level in a city is greater than 24 parts per billion. To test this estimate, you determine the
Ascientist estimates that the mean nitrogen dioxide level in a city is greater than 24 parts per billion. To test this estimate, you determine the nitrogen dioxide levels for 31 randomly selected days. The results Q (in parts per billion) are listed to the right. Assume that the population standard deviation is 9. At u= 0.08, can you support the scientist's estimate? Complete parts (a) through (e). 15 14 32 14 31 36 41 19 23 18 33 22 42 40 361414 2230 42 15 29 22 38 35 29 4116 433018 (a) Write the claim mathematically and identify Ho and H8. Choose from the following. OA. Ho:p524 O B. Ho:p24 (claim) Ha: p224 (claim) Ha: ">24 0 D. H0: p524 (claim) 0 E. H0: p224 (claim) 0 F. H0: p=24 Ha: p>24 Ha: p 24 (claim) (b) Find the critical value and identify the rejection region. 20 = (Round to two decimal places as needed.) Rejection region: 2 V (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. 0 Fail to reject Ho O Reject H0 (e) Interpret the decision in the context of the original claim. At the 8% signicance level, there '7 enough evidence to 'V the scientist's claim that the mean nitrogen dioxide level in the city is greater than 24 parts per billion
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