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Radon is a naturally occurring gas and is the second leading cause of lung cancer in the United States. It comes from the natural breakdown of uranium in the soil and enters buildings through cracks and other holes in the foundations. Found throughout the United States, levels vary considerably from state to state. Several methods can reduce the levels of radon in your home, and the Environmental Protection Agency recommends using one of these if the measured level in your home is above 4 picocuries per liter. Four readings from a county in the state of Ohio, where the county average is 8.4 picocuries per liter, were 5.2, 12.8, 8.4, and 16 (a) Find the mean step-by-step. That is, find the sum of the 4 observations and divide by 4. (Enter your answers to one decimal place.) sum X picocuries mean 10.6 picocuries (b) Find the standard deviation step-by-step. That is, find the deviations of each observation from the mean, square the deviations, then obtain the variance and the standard deviation. (Round your answers to two decimal places.) xi 5.2 12.8 8.4 16 Xi-x picocuries (c) Now enter the data into your calculator and use the mean and standard deviation buttons to obtain x and s. (Round your answers to two decimal places.) picocuries Do the results agree with your hand calculations? Yes No

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