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A Random Sample of the Houses in a Particular City

question 44

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 an 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:

Reaction

The process by which reactants undergo a conversion resulting in one or more distinct substances, these end products.

2-phenylethanamine

An organic chemical compound with the formula C8H11N, acting as a primary amine with a phenyl substituent.

2-phenylethanol

An aromatic alcohol with a floral fragrance, represented by the chemical formula C8H10O, commonly found in essential oils.

Major Organic Product

The primary substance produced in the highest yield in an organic reaction when there are multiple possible products.

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