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A Sample of 12 Radon Detectors of a Certain Type 104.389.689.995.695.290.098.8103.798.3106.4102.091.1\begin{array} { r r r r r r } 104.3 & 89.6 & 89.9 & 95.6 & 95.2 & 90.0 \\98.8 & 103.7 & 98.3 & 106.4 & 102.0&91 .1\end{array}

question 15

Essay

A sample of 12 radon detectors of a certain type was selected, and each was exposed to 100 pCi/L of radon. The resulting readings were as follows: 104.389.689.995.695.290.098.8103.798.3106.4102.091.1\begin{array} { r r r r r r } 104.3 & 89.6 & 89.9 & 95.6 & 95.2 & 90.0 \\98.8 & 103.7 & 98.3 & 106.4 & 102.0&91 .1\end{array}
a. Does this data suggest that the population mean reading under these conditions differs from 100? State and test the appropriate hypotheses using α\alpha
=.05
b. Suppose that prior to the experiment, a value of σ\sigma
=7.5 had been assumed. How many determinations would then have been appropriate to obtain β=.10\beta = .10
for the alternative μ=95?\mu = 95 ?

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Definitions:

Supply Curve

The Supply Curve is a graphical representation showing the relationship between the price of a good or service and the quantity of that good or service that a supplier is willing and able to supply.

Marginal Cost Curve

A graph that shows the cost of producing one more unit of a good or service at each level of production.

Average Variable Cost

The cost per unit of varying inputs in the production process, calculated by dividing total variable costs by the quantity of output produced.

Economic Profits

Profits calculated by subtracting total explicit and implicit costs from total revenues; measures the excess over both the opportunity cost of capital and the wages that business owners could have earned elsewhere.

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