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A scientist estimates that the mean nitrogen dioxide level in a city is greater

ID: 3072962 • Letter: A

Question

A scientist estimates that the mean nitrogen dioxide level in a city is greater than 28 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 =0.03, can you support the scientist's estimate? Complete parts (a) through (e) 30 44 16 36 42 20 2640 24 33 19 22 39 39 19 16 43 36 15 38 22 32 23 28 40 17 42 38 17 19 30 (a) Write the claim mathematically and identify Ho and Ha Choose from the following OB, Ho : -28 (claim) , > 28 O E. Ho:H2 28 (claim) Ha : 28 (claim) , > 28 (claim) Ho : 28 (b) Find the critical value and identify the rejection region 20(Round to two decimal places as needed)

Explanation / Answer

The test is a right tailed test with 0.03 level of significance. So,

Critical z value = 1.88

Rejection region: z > 1.88

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