A Random Sample of the Houses in a Particular City

question 7

Essay

A random sample of the houses in a particular city is selected and the level of radon gas is measured for each house in the sample. The values collected are given below in parts per million (ppm). Experience has shown that radon gas level is approximately normally distributed for this population. 4, 8, 13, 6, 7, 3, 9, 8, 11, 8 ​ a) Calculate a point estimate of the population mean of radon gas levels. b) Construct and interpret a 99% confidence interval for μ. c) The city standards for radon call for no more than a level of 6 ppm. From these data, does it appear that the mean radon level for city houses is under 6 ppm? Provide statistical justification for your response.

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Definitions:

Demand Curve

A graphical representation showing the relationship between the price of a product and the amount of it that consumers are willing to purchase at various prices.

Perfectly Competitive

A perfectly competitive market is one where there are many sellers and buyers, homogeneous products, and no barriers to entry or exit, resulting in market prices determined by supply and demand.

Generic Pharmaceuticals

Medications marketed without brand names and often sold at lower prices than their branded counterparts, but contain the same active ingredients.

Smart Phones

Advanced mobile phones with extensive computing abilities, including internet access, app functionality, and touchscreen interface.