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A scientist estimates that the mean nitrogen dioxide level in a city is greater than 33 parts per billion. To test this estimate, you %

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A scientist estimates that the mean nitrogen dioxide level in a city is greater than 33 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 1? 43 43 2? 44 20 281B 44 15 41 the population standard deviation is B. At a = 0.05, can you support the scientists estimate? Complete parts (a) through (e). 26 29 14 33 41 31 21 33 14 25 43 23 24 24 28 32 36 26 22 23 (I) (a) Write the claim mathematically and identify Ho and Ha. Choose from the following. 0 A. H\": p=33 O B. HD: p=33 (claim) 0 C. HD: pg 33 (claim) Ha:p>33{claim} Ha:p>33 Ha:p>33 O D. \"03 [12 33 (claim) 0 E. \"03 p 35 O E. Ho: H # 35 OF. Ho: HIS33.3 Ha: H = 35 Ha: [ > 33.3 (b) Find the critical value(s). Select the correct choice below and fill in the answer box within your choice. (Round to two decimal places as needed.) O A. The critical values are + O B. The critical value is. Identify the rejection region(s). Choose the correct answer below. O A. O B. OC. Fail to reject Ho. Fail to reject Ho- Fail to reject Ho. Reject Ho. Reject Ho. Reject Ho- Reject Ho- Z (c) Find the standardized test statistic. z= (Round to two decimal places as needed.)A fast food restaurant estimates that the mean sodium content in one of its breakfast sandwiches is no more than 919 milligrams. A random sample of 56 breakfast sandwiches has a mean sodium content of 912 milligrams. Assume the population standard deviation is 15 milligrams. At o= 0.10, do you have enough evidence to reject the restaurant's claim? Complete parts (a) through (e). (a) Identify the null hypothesis and alternative hypothesis. O A. Ho: US912 OB. Ho: H > 919 O C. Ho: H 919 (b) Identify the critical value(s). Use technology. Zo = 0 (Use a comma to separate answers as needed. Round to two decimal places as needed.) Identify the rejection region(s). Select the correct choice below. O A. The rejection regions are z > 1.28 and z 1.28. (c) Identify the standardized test statistic. Use technology. z= (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis, and (e) interpret the decision in the context of the original claim. O A. Reject Ho- There is not sufficient evidence to reject the claim that mean O B. Reject Ho. There is sufficient evidence to reject the claim that mean sodium sodium content is no more than 919 milligrams. content is no more than 919 milligrams. O C. Fail to reject Ho. There is sufficient evidence to reject the claim that mean O D. Fail to reject Ho- There is not sufficient evidence to reject the claim that mean sodium content is no more than 919 milligrams sodium content is no more than 919 milligrams

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