A scientist estimates that the mean nitrogen dioxide level in a city is greater than 27 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. Assume that the population standard deviation is 10. At a= 0.06, can you support the scientist estimate?

Data: 15 23 17 36 29 21 40 42 20 20 30 39 33 32 41 27 21 39 21 32 21 42 43 28 21 24 29 14 29 30 36

(a.) Write the claim mathematically and identify Ho and Ha

(b.) Find the critical value and identify the rejection region

(c.) Find the standardized test statistic

(d.) Decide whether to reject or fail to reject the null hypothesis

(e.) Interpret the decision in the context of the original claim