A certain region has been one of the fastest growing regions for a number of years. Accompanying the rapid growth are massive new construction projects that create visible dust pollution. As required by government regulation, researchers continually monitor pollution levels. In the most recent test of pollution levels, 121 air samples were collected. The dust particulate levels must be reported to the federal regulatory agencies. In the report sent to the federal agency, it was noted that the mean particulate level is 57.6 micrograms/cubic liter of air, and the 95% condence interval estimate is (52.06 mg to 63.07 mg). A graph of the distribution of the particulate amounts was also included and is shown below. Complete parts a and b. [5 Click the icon to view the histogram of the particulate amounts. a) Of the following choices, what are the assumptions and conditions we typically make when preparing to use Student's t inference methods. Select all that apply. E] A. The expected values for the numbers of successes and failures are at least 10. E] B. The data arise from a random sample or suitably randomized experiment. E] C. The data come from a nearly Normal distribution. E] D. The sample size is at least 10. b) Do you think the condence interval noted in the report is valid? Briey explain why or why not. Choose the correct answer below. 0 A. No; the data do not appear to come from a nearly Normal distribution. O B. Yes; although the data produce a histogram that is not nearly Normal, the sample size is large enough. 0 C. No; the expected values for the numbers of successes and failures are less than 10. O D. Yes; the sample is random, the histogram is nearly Normal, and the sample size is greater than 10