A certain region has been one of the fastest growing regions for a number of yea

Question

A certain region has been one of the fastest growing regions for a number of years. Accompanying the rapid growth are massive new construct on 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 moored to the federal regulatory agencies. In the report sent to the federal agency, it was noted mat the mean particulate level is 57 6 micrograms/cubic liter of air, and the 95% confidence interval estimate is (52.08 mg to 63.07 mg). A graph of the distribution of the particulate amounts was also included and is Shown bellow. Complete parts a and b. a) Of the following choices what are the assumptions and conditions we typically make when preparing to use Students I inference methods. Select all that apply. The expected values for the numbers or successes and failures are at least 10. The sample sure is at least 10 The data arise from a random sample or suitably randomized experiment The data coms from a nearly Normal distribution b) Do you think the confidence interval noted in the report is valid? Briefly explain why or why not Choose the correct answer below Yes:although the data produce a histogram mat is not neatly Normal, the sample size is large enough. No:the data do not appear to come from a nearly Normal distribution. Yes:the sample is random, the histogram is nearly Normal, and the sample size is greater than 10. No:the expected values for the numbers of successes and failures are less than 10.

Explanation / Answer

a) as condition for sample size is already satisfied; hence option B,C is correct

b) option A is correct

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